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Littlewood-Richardson rule for generalized Schur Q-functions
Littlewood-Richardson rule gives the expansion formula for decomposing a product of two Schur functions as a linear sum of Schur functions, while the...
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Representation Type of Borel-Schur Algebras
In our previous work (Erdmann et al. J. Algebra Appl. 17(2),1850028,
2018 ), we found all Borel-Schur algebras of finite representation type. In the... -
Equivalence of formulations of the MKP hierarchy and its polynomial tau-functions
We show that a system of Hirota bilinear equations introduced by Jimbo and Miwa defines tau-functions of the modified KP (MKP) hierarchy of evolution...
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Affine quiver Schur algebras and p-adic \({\textit{GL}}_n\)
In this paper we consider the (affine) Schur algebra which arises as the endomorphism algebra of certain permutation modules for the...
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The BLM realization for the integral form of Uv(glm|n)
In this paper, we embed the integral form of the quantum supergroup U v (gl m|n ) to the product of a family of integral quantum Schur superalgebras. We...
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Hochschild Cohomology of q-Schur Algebras
We compute the Hochschild cohomology of any block of q -Schur algebras. We focus on the even part of this Hochschild cohomology ring. To compute the...
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On Schur Superfunctors
We introduce super-analogues of the Schur functors defined by Akin, Buchsbaum and Weyman. These Schur superfunctors may be viewed as...
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Endomorphism Algebras of Some Modules for Schur Algebras and Representation Dimension
We consider the representation dimension, for fixed n ≥ 2, of ordinary and quantised Schur algebras S ( n , r ) over a field k . For k of positive...
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The inclusion of the Schur algebra in B(ℓ 2) is not inverse-closed
The Schur algebra is the algebra of operators which are bounded on ℓ 1 and on ℓ ∞ . In this note, we exhibit an element of the group algebra of the...
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On the Representation Dimension of Schur Algebras
Lower bounds for the representation dimension of Schur algebras for GL n in characteristic p ≥ 2 n − 1 are established. In particular it is shown that...
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Runner Removal Morita Equivalences
Let \({U}_{q} = {U}_{q}({\mathfrak{g}\mathfrak{l}}_{n})\) be Lusztig’s...