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pro vyhledávání: '"Lee, Soo Teck"'
Autor:
Lee, Soo Teck, Zhang, Ruibin
We develop an algebraic approach to the branching of representations of the general linear Lie superalgebra $\mathfrak{gl}_{p|q}({\mathbb C})$, by constructing certain super commutative algebras whose structure encodes the branching rules. Using this
Externí odkaz:
http://arxiv.org/abs/2403.11393
Autor:
Kimoto, Kazufumi, Lee, Soo Teck
We realize the $\mathrm{GL}_n(\mathbb{C})$-modules $S^k(S^m(\mathbb{C}^n))$ and $\Lambda^k(S^m(\mathbb{C}^n))$ as spaces of polynomial functions on $n\times k$ matrices. In the case $k=3$, we describe explicitly all the $\mathrm{GL}_n(\mathbb{C})$-hi
Externí odkaz:
http://arxiv.org/abs/1905.01414
Akademický článek
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We use the theory of skew duality to show that decomposing the tensor product of $k$ irreducible representations of the symplectic group $Sp_{2m} = Sp_{2m}(C)$ is equivalent to branching from $Sp_{2n}$ to $Sp_{2n_1}\times\cdots\times Sp_{2n_k}$ where
Externí odkaz:
http://arxiv.org/abs/1611.08473
Autor:
Kim, Sangjib, Lee, Soo Teck
Publikováno v:
In Journal of Algebra 15 November 2020 562:497-536
Autor:
Lee, Soo Teck, Zhu, Chen-Bo
The main purpose of this article is to supplement the authors' results on degenerate principal series representations of real symplectic groups with the analogous results for metaplectic groups. The basic theme, as in the previous case, is that their
Externí odkaz:
http://arxiv.org/abs/1207.5308
Autor:
Kim, Sangjib, Lee, Soo Teck
We study the structure of a family of algebras which encodes a generalization of the Pieri Rule for the complex orthogonal group. In particular, we show that each of these algebras has a standard monomial basis and has a flat deformation to a Hibi al
Externí odkaz:
http://arxiv.org/abs/0907.1336
We consider a see-saw pair consisting of a Hermitian symmetric pair (G_R, K_R) and a compact symmetric pair (M_R, H_R), where (G_R, H_R) and (K_R, M_R) form real reductive dual pairs in a large symplectic group. In this setting, we get Capelli identi
Externí odkaz:
http://arxiv.org/abs/math/0510033
Publikováno v:
American Journal of Mathematics, 2017 Apr 01. 139(2), 347-401.
Externí odkaz:
https://www.jstor.org/stable/44508927