A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2019; you can also visit the original URL.
The file type is application/pdf.
Filters
Symplectic orthogonality spaces
1974
Journal of combinatorial theory. Series A
Preserved Fulltext
Let E be a finite dimensional vector space over the Galois field GF(2). Let lin(E) denote the set of one-dimensional subspaces of E. Let @ be the symplectic inner product on E. ...
Consider the elements of lin(E) as vertices of a graph, two vertices being connected exactly when they are distinct and orthogonal with respect to 0. This graph is characterized abstractly. ...
Let (X, 1) be a symplectic orthogonality space. Then there is a symplectic quadratic space (GF(2), E, @) such that (X, I) is isomorphic to (WE), SW. ...
doi:10.1016/0097-3165(74)90074-0
fatcat:i45qwdeg6nc7nft25ks6o72hhm
Symplectic space and orthogonal space of n qubits
[article]
2010
arXiv
pre-print
Preserved Fulltext
The Internet Archive has a preservation copy of this work in our general collections.
The file type is application/pdf.
In the Hilbert space of n qubits, we introduce the symplectic space (n odd) and the orthogonal space (n even) via the spin-flip operator. ...
the generalized "magic basis" is just the bi-orthonormal basis (that is, the orthonormal basis of both Hilbert space and the orthogonal space ). ...
Symplectic space and orthogonal space of n qubits ...
arXiv:1011.3187v1
fatcat:7ek4sy3tufekfkdfpk7fstvswq
Spacings in Orthogonal and Symplectic Random Matrix Ensembles
[article]
2015
arXiv
pre-print
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2020; you can also visit the original URL.
The file type is application/pdf.
Focussing on orthogonal and symplectic invariant ensembles, we show that the empirical spacing distribution converges in a uniform way. ...
We consider the universality of the nearest neighbour eigenvalue spacing distribution in invariant random matrix ensembles. ...
respectively, justifying the full names Gaussian Orthogonal, Unitary and Symplectic Ensembles. ...
arXiv:1501.05637v1
fatcat:dzrbhs6xcfhulhyojkfomtbxlu
Minimal rational curves on the moduli spaces of symplectic and orthogonal bundles
[article]
2021
arXiv
pre-print
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2020; you can also visit the original URL.
The file type is application/pdf.
Note that this fulltext copy is not of the "primary" version of this work. The version it corresponds to is:
2020 pre-print arXiv:2002.08504v2 fatcat:ralbxuctjba7bhxrxiyk252zziOther Versions
Let ℳ𝒮_C(n,L) and ℳ𝒪_C(n,L) be the moduli spaces of L-valued symplectic and orthogonal bundles respectively, over C of rank n. ...
We construct rational curves on these moduli spaces which generalize Hecke curves on the moduli space of vector bundles. ...
(For the sign ±, we take + and − sign in the symplectic and orthogonal case, respectively. The space M should refer to the corresponding space.) ...
arXiv:2002.08504v3
fatcat:cc57otknbrh3vcok7htlr6tk5y
Symplectic vs pseudo-orthogonal structure of space-time
[article]
2001
arXiv
pre-print
Preserved Fulltext
The Internet Archive has a preservation copy of this work in our general collections.
The file type is application/pdf.
The advantages to consider the ordinary space-time as the symplectic rather than pseudo-orthogonal one are indicated, and the consequences of extending this view to extra space/time dimensions are discussed ...
Symplectic vs pseudo-orthogonal space-time The space-time, or the world we live in is generally adopted to be (locally) the Minkowski one. Its structure group is the pseudo-orthogonal group SO(1, 3). ...
The symplectic approach provides an unorthodox alternative to the pseudo-orthogonal space-times and inspires a lot of new opportunities for the physics of extra dimensions. ...
arXiv:hep-ph/0110016v1
fatcat:6kcxag2zjze27hfo2kiqckykze
On the moduli spaces of parabolic symplectic orthogonal bundles on curves
[article]
2021
arXiv
pre-print
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2021; you can also visit the original URL.
The file type is application/pdf.
We prove that the moduli spaces of parabolic symplectic/orthogonal bundles on a smooth curve are globally F regular type. As a consequence, all higher cohomology of theta line bundle vanish. ...
Moduli space of semistable parabolic symplectic/orthogonal bundles In this section, we construct the moduli space of semistable parabolic symplectic/orthogonal bundles with fixed parabolic type σ over ...
with the symplectic/orthogonal structure. ...
arXiv:2101.02383v1
fatcat:5g232tuho5gcrm7qrzjqzdxbn4
Hard and soft edge spacing distributions for random matrix ensembles with orthogonal and symplectic symmetry
[article]
2006
arXiv
pre-print
Preserved Fulltext
The Internet Archive has a preservation copy of this work in our general collections.
The file type is application/pdf.
at the hard and soft spectrum edges in the cases of orthogonal and symplectic symmetry. ...
Combining these in the scaled limit with the exact evaluation of the gap probabilities for certain superimposed ensembles with orthogonal symmetry allows for the exact evaluation of the gap probabilities ...
In the case of spacing distributions in random matrix ensembles with orthogonal or symplectic symmetry, the relationship with Painlevé theory requires further insights. ...
arXiv:math-ph/0605022v1
fatcat:4m2w7gywvnclxkrayxt72a4u4e
A stratification on the moduli spaces of symplectic and orthogonal bundles over a curve
[article]
2012
arXiv
pre-print
Preserved Fulltext
The Internet Archive has a preservation copy of this work in our general collections.
The file type is application/pdf.
This invariant t defines stratifications on moduli spaces of symplectic and orthogonal bundles. ...
We also observe some interesting features of orthogonal bundles which do not arise for symplectic bundles, essentially due to the richer topological structure of the moduli space in the orthogonal case ...
The invariant t(V ) induces stratifications on moduli spaces of semistable symplectic and orthogonal bundles over X. ...
arXiv:1204.0834v1
fatcat:e2rip3roufgc3fdzaqofcl4crm
Moduli spaces of orthogonal and symplectic bundles over an algebraic curve
2008
Compositio Mathematica
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2018; you can also visit the original URL.
The file type is application/pdf.
of orthogonal (respectively symplectic) bundles to the moduli space of all vector bundles overCis an embedding. ...
Our proof relies on an explicit description of a set of generators for the polynomial invariants on the representation space of a quiver under the action of a product of classical groups. ...
Orthogonal and symplectic bundles on curves
Generators for k[R(Q, α)] Γα
Let us go back to the quiver Q and the action of Γ α on its representation space R(Q, α). ...
doi:10.1112/s0010437x07003247
fatcat:4hthanjsnvebtfsphwva2b4nju
Partial ovoids and partial spreads in symplectic and orthogonal polar spaces
2008
European journal of combinatorics (Print)
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2019; you can also visit the original URL.
The file type is application/pdf.
sizes of large maximal partial ovoids and large maximal partial spreads in the classical symplectic and orthogonal polar spaces. ...
We present improved lower bounds on the sizes of small maximal partial ovoids and small maximal partial spreads in the classical symplectic and orthogonal polar spaces, and improved upper bounds on the ...
The similar results for the hermitian polar spaces are presented in [11] . We present the results for the classical symplectic and orthogonal polar spaces of rank r ≥ 3. ...
doi:10.1016/j.ejc.2007.06.004
fatcat:xcgvvewf3zhpzbmerhxtqzyrce
A stratification on the moduli spaces of symplectic and orthogonal bundles over a curve
2014
International Journal of Mathematics
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is application/pdf.
This invariant t defines stratifications on moduli spaces of symplectic and orthogonal bundles. ...
a symplectic (resp., orthogonal) structure. ...
The invariant t(V ) induces stratifications on moduli spaces of semistable symplectic and orthogonal bundles over X. ...
doi:10.1142/s0129167x14500475
fatcat:6e3buai4sfhbxkamscxllqaify
Cyclic elliptic spreads
[article]
2015
arXiv
pre-print
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2019; you can also visit the original URL.
The file type is application/pdf.
In characteristic 2, an orthogonal vector space is also a symplectic space, and t.s. subspaces are also t.i. subspaces. Orthogonal spreads were defined earlier. ...
Those papers are based on the fact that a symplectic spread in an Sp(2m, q)-space (with m odd and q even) produces an essentially unique orthogonal spread in an O + (2m + 2, q)-space, while an orthogonal ...
arXiv:1512.00861v1
fatcat:zpxclaitsrc2phso5ggt4jinpy
The symplectiness of Maxwell's equations
2008
2008 International Conference on Microwave and Millimeter Wave Technology
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is application/pdf.
First, we analyze the continuoustime Maxwell's differential equations in free space and verify its time evolution matrix (TEMA) is symplectic-unitary matrix for complex space or symplectic-orthogonal matrix ...
For the PS approach, the TEMA conserves symplectic-unitary property. For the FD method, the TEMA conserves symplectic-orthogonal property. ...
Based on Theory 6, the TEMA of Maxwell's equations is a symplectic-orthogonal matrix in real space. ...
doi:10.1109/icmmt.2008.4540337
fatcat:msppmodlzbdvjmzwdyowvevtli
Teichmüller space for hyperkähler and symplectic structures
2015
Journal of Geometry and Physics
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2020; you can also visit the original URL.
The file type is application/pdf.
Note that this fulltext copy is not of the "primary" version of this work. The version it corresponds to is:
2015 pre-print arXiv:1503.01201v1 fatcat:desqrctrr5gelerv7qp7kzouaa
The quotient S/_0 is called the Teichmuller space of symplectic (or hyperkahler) structures on M. ...
This is used to determine the Teichmuller space of symplectic structures of Kahler type on a hyperkahler manifold of maximal holonomy. ...
The space of symplectic structures The study of the space of symplectic structures was initiated by Moser in [Mos] . ...
doi:10.1016/j.geomphys.2015.07.006
fatcat:befuj4zow5hexlgndylztas75e
Products of two involutions in classical groups of characteristic 2
1981
Journal of Algebra
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2019; you can also visit the original URL.
The file type is application/pdf.
Let k be a field of characteristic 2 and let V be a k-vector space of dimension 2n. A nondefective quadratic form defined on V is a function h: V-t k that satisfies, for U, a in V, c in k, ...
Since V can clearly be written as an orthogonal direct sum of symplectically indecomposable T-invariant subspaces, the structure of such symplectically indecomposable spaces is of interest. ...
the complex characters of these three families of finite groups are all real-valued. 583 584 R.GOW
ORTHOGONAL DECOMPOSHION OF A SYMPLECTIC SPACE Let T be an element of Sp(2n, V). ...
doi:10.1016/0021-8693(81)90198-8
fatcat:czc3ahet2jghvots5s7f2gafhu
« Previous
Showing results 1 — 15 out of 41,268 results