Zobrazeno 1 - 10
of 184
pro vyhledávání: '"Orthosymplectic superalgebras"'
Akademický článek
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We show that there exists a unique crystal base of a parabolic Verma module over a quantum orthosymplectic superalgebra, which is induced from a $q$-analogue of a polynomial representation of a general linear Lie superalgebra.
Comment: 43 pages
Comment: 43 pages
Externí odkaz:
http://arxiv.org/abs/2307.05625
We introduce a category of $q$-oscillator representations over the quantum affine superalgebras of type $D$ and construct a new family of its irreducible representations. Motivated by the theory of super duality, we show that these irreducible repres
Externí odkaz:
http://arxiv.org/abs/2304.06215
Akademický článek
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Autor:
Kwon, Jae-Hoon
Publikováno v:
Journal of Algebraic Combinatorics 43 (2016), no. 3, 553-588
Let $\mathcal{O}^{int}_q(m|n)$ be a semisimple tensor category of modules over a quantum ortho-symplectic superalgebra of type $B, C, D$ introduced in the author's previous work. It is a natural counterpart of the category of finitely dominated integ
Externí odkaz:
http://arxiv.org/abs/1402.0152
Autor:
Kwon, Jae-Hoon
Publikováno v:
Int. Math. Res. Not. IMRN 2015, no. 23, 12620-12677
We introduce a semisimple tensor category $\mc{O}^{int}_q(m|n)$ of modules over an quantum ortho-symplectic superalgebra. It is a natural counterpart of the category of finitely dominated integrable modules over the quantum classical (super) algebra
Externí odkaz:
http://arxiv.org/abs/1301.1756
The Perk--Schultz model may be expressed in terms of the solution of the Yang--Baxter equation associated with the fundamental representation of the untwisted affine extension of the general linear quantum superalgebra $U_q[sl(m|n)]$, with a multipar
Externí odkaz:
http://arxiv.org/abs/nlin/0509019
We define a class of orthosymplectic superalgebras $osp(m;j|2n;\omega)$ which may be obtained from $osp(m|2n)$ by contractions and analytic continuations in a similar way as the orthogonal and the symplectic Cayley-Klein algebras are obtained from th
Externí odkaz:
http://arxiv.org/abs/hep-th/0110257
Autor:
Farmer, R J
This thesis is devoted to the study of the representation theory of orthosymplectic superalgebras and their applications to physical theories. Techniques are developed to educe typical and atypical finite-dimensional, irreducible representations of o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5da822d8c44a2e8b300923478fb9e7c6
Autor:
Zengo Tsuboi
Publikováno v:
Nuclear Physics B, Vol 1005, Iss , Pp 116607- (2024)
Extending the method proposed in [1], we derive QQ-relations (functional relations among Baxter Q-functions) and T-functions (eigenvalues of transfer matrices) for fusion vertex models associated with the twisted quantum affine superalgebras Uq(gl(2r
Externí odkaz:
https://doaj.org/article/8c7fb838dd134dd79947ac8383af4996
