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QUASI-SPLIT SYMMETRIC PAIRS OF $U(\mathfrak {gl}_N)$ AND THEIR SCHUR ALGEBRAS

Published online by Cambridge University Press:  21 September 2020

YIQIANG LI  and
JIERU ZHU
YIQIANG LI
Affiliation:
Department of Mathematics, University at Buffalo, SUNY Buffalo, NY 14260, USAyiqiang@buffalo.edu
JIERU ZHU*
Affiliation:
Department of Mathematics, University at Buffalo, SUNY Buffalo, NY 14260, USA
*
jieruzhu@buffalo.edu
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Abstract

We establish explicit isomorphisms of two seemingly-different algebras, and their Schur algebras, arising from the centralizers of two different type B Weyl group actions in Schur-like dualities. We provide a presentation of the geometric counterpart of the above Schur algebras in [1] specialized at $q=1$ .

Type
Article
Information
Nagoya Mathematical Journal , Volume 245 , March 2022 , pp. 1 - 27
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Copyright
© (2020) The Authors. The publishing rights in this article are licenced to Foundation Nagoya Mathematical Journal under an exclusive license

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