Tensor product representations for orthosymplectic Lie superalgebras
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Publication:1295563
DOI10.1016/S0022-4049(97)00084-4zbMath0932.17008arXivmath/9607232WikidataQ115340098 ScholiaQ115340098MaRDI QIDQ1295563
Chanyoung Lee Shader, Arun Ram, Georgia M. Benkart
Publication date: 12 March 2000
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/9607232
Combinatorial aspects of representation theory (05E10) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Color Lie (super)algebras (17B75) Superalgebras (17A70) Graded Lie (super)algebras (17B70)
Related Items (26)
On a class of tensor product representations for the orthosymplectic superalgebra ⋮ Tensor Product Representations of the Lie Superalgebra 𝔭(n) and Their Centralizers ⋮ Diamond cone for \(\mathfrak{spo}(2m, 1)\) ⋮ Orthosymplectic Cauchy identities ⋮ The sigma model on complex projective superspaces ⋮ An orthosymplectic Pieri rule ⋮ Littlewood identity and crystal bases ⋮ Ninth variation of classical group characters of type A-D and Littlewood identities ⋮ Affine periplectic Brauer algebras ⋮ Continuum limit and symmetries of the periodic \({\mathfrak g}\ell (1|1)\) spin chain ⋮ Spectra of coset sigma models ⋮ The continuum limit of gl(\(M|N\)) spin chains ⋮ The Gelfand–Naimark–Segal construction for unitary representations of $\mathbb Z_2^n$-graded Lie supergroups ⋮ The first fundamental theorem of invariant theory for the orthosymplectic supergroup ⋮ Thick ideals in Deligne's category \(\underline{\mathrm{Re}}\mathrm{p}(O_\delta)\) ⋮ Young tableaux and crystal base for \(U_q(\text{osp}(1|2n))\) ⋮ Jeu de taquin and diamond cone for Lie (super)algebras ⋮ Random walks on the BMW monoid: an algebraic approach ⋮ Dual pairs and Kostant-Sekiguchi correspondence. II: Classification of nilpotent elements ⋮ A lattice approach to the conformal \(OSp(2S+2|2S)\) supercoset sigma model. Part I: algebraic structures in the spin chain. The Brauer algebra ⋮ Crystal bases for the quantum superalgebra $U_q(\mathfrak {gl}(m,n))$ ⋮ The efficient computation of Fourier transforms on semisimple algebras ⋮ Lattice path constructions for orthosymplectic determinantal formulas ⋮ The blocks of the periplectic Brauer algebra in positive characteristic ⋮ On geometrically defined extensions of the Temperley-Lieb category in the Brauer category ⋮ Representations for Lie superalgebras of type C.
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