TY - JOUR
T1 - A Note on Schur-Weyl Dualities for GL(m) and GL(m|n)
AU - Marko, František
N1 - Publisher Copyright:
© The Author(s), under exclusive licence to Springer Nature B.V. 2024.
PY - 2024/10
Y1 - 2024/10
N2 - We use a unified elementary approach to prove the second part of classical, mixed, super, and mixed super Schur-Weyl dualities for general linear groups and supergroups over an infinite ground field of arbitrary characteristic. These dualities describe the endomorphism algebras of the tensor space and mixed tensor space, respectively, over the group algebra of the symmetric group and the Brauer wall algebra, respectively. Our main new results are the second part of the mixed Schur-Weyl dualities and mixed super Schur-Weyl dualities over an infinite ground field of positive characteristic.
AB - We use a unified elementary approach to prove the second part of classical, mixed, super, and mixed super Schur-Weyl dualities for general linear groups and supergroups over an infinite ground field of arbitrary characteristic. These dualities describe the endomorphism algebras of the tensor space and mixed tensor space, respectively, over the group algebra of the symmetric group and the Brauer wall algebra, respectively. Our main new results are the second part of the mixed Schur-Weyl dualities and mixed super Schur-Weyl dualities over an infinite ground field of positive characteristic.
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U2 - 10.1007/s10468-024-10290-w
DO - 10.1007/s10468-024-10290-w
M3 - Article
AN - SCOPUS:85204199477
SN - 1386-923X
VL - 27
SP - 1957
EP - 1979
JO - Algebras and Representation Theory
JF - Algebras and Representation Theory
IS - 5
ER -