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  Higher level affine Schur and Hecke algebras

Maksimau, R., & Stroppel, C. (2021). Higher level affine Schur and Hecke algebras. Journal of Pure and Applied Algebra, 225(8): 106442. doi:10.1016/j.jpaa.2020.106442.

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arXiv:1805.02425.pdf (Preprint), 569KB
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arXiv:1805.02425.pdf
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https://doi.org/10.1016/j.jpaa.2020.106442 (Publisher version)
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 Creators:
Maksimau, Ruslan1, Author           
Stroppel, Catharina, Author
Affiliations:
1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Representation Theory, Rings and Algebras
 Abstract: We define a higher level version of the affine Hecke algebra and prove that,
after completion, this algebra is isomorphic to a completion of Webster's
tensor product algebra of type A. We then introduce a higher level version of
the affine Schur algebra and establish, again after completion, an isomorphism
with the quiver Schur algebra. An important observation is that the higher
level affine Schur algebra surjects to the Dipper-James-Mathas cyclotomic
q-Schur algebra. Moreover, we give nice diagrammatic presentations for all the
algebras introduced in this paper.

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Language(s): eng - English
 Dates: 2021
 Publication Status: Published in print
 Pages: -
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 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 1805.02425
DOI: 10.1016/j.jpaa.2020.106442
 Degree: -

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Title: Journal of Pure and Applied Algebra
  Abbreviation : J. Pure Appl. Algebra
Source Genre: Journal
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Publ. Info: Elsevier
Pages: - Volume / Issue: 225 (8) Sequence Number: 106442 Start / End Page: - Identifier: -