Erratum to: Character and Dimension Formulae for Queer Lie Superalgebra
نویسندگان
چکیده
منابع مشابه
Character and Dimension Formulae for General Linear Superalgebra
The generalized Kazhdan-Lusztig polynomials for the finite dimensional irreducible representations of the general linear superalgebra are computed explicitly. Using the result we establish a one to one correspondence between the set of composition factors of an arbitrary r-fold atypical gl m|n-Kac-module and the set of composition factors of some r-fold atypical gl r|r-Kac-module. The result of...
متن کاملYangian of the Queer Lie Superalgebra
Consider the complex matrix Lie superalgebra glN|N with the standard generators Eij where i, j = ±1 , . . . ,±N . Define an involutory automorphism η of glN|N by η (Eij) = E−i,−j . The twisted polynomial current Lie superalgebra g = {X(u) ∈ glN|N [u] : η (X(u)) = X(−u) } has a natural Lie co-superalgebra structure. We quantise the universal enveloping algebra U(g) as a co-Poisson Hopf superalge...
متن کاملCharacter and Dimension Formulae for Finite Dimensional Irreducible Representations of the General Linear Superalgebra
The generalized Kazhdan-Lusztig polynomials for the finite dimensional irreducible representations of the general linear superalgebra are computed explicitly. The result is applied to prove a conjectural character formula put forward by van der Jeugt et al in the late 80s. We simplify this character formula to cast it into the Kac-Weyl form, and derive from it a closed formula for the dimension...
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The enveloping algebra U(g) of the Lie superalgebra g has a deformation, called the Yangian of qN . For each M = 1 ,2 , . . . denote by A M N the centralizer of qM ⊂ qN+M in the associative superalgebra U(qN+M ) . We construct a sequence of surjective homomorphisms U(qN ) ← A 1 N ← A 2 N ← . . . . We describe the inverse limit of the sequence of centralizer algebras A1N ,A 2 N , . . . in terms ...
متن کاملGlobal Character Formulae for Compact Lie Groups
We introduce the concept of a modulator, which leads to a family of character formulae, each generalizing the Kirillov formula. For a suitable choice of modulator, this enables one to understand the Plancherel measure of a compact Lie group as arising from a partition of the identity on the dual of its Lie algebra.
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2015
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s00220-015-2482-x