Schur superalgebras in characteristic p, II

Frantisek Marko; Alexandr N. Zubkov

doi:10.1112/S0024609305018187

Schur superalgebras in characteristic p, II

Frantisek Marko
, Alexandr N. Zubkov

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

Abstract

It is proved that if a Schur superalgebra is not semisimple, then it is neither cellular nor quasi-hereditary (Theorem 2), and it has infinite global dimension (Corollary 18). The algebra S(m|n, r) with m, n ≥ 1 is semisimple if and only lip, the characteristic of the ground field, is zero or greater than r, or when m = n = 1 and p does not divide r.

Original language	English
Pages (from-to)	99-112
Number of pages	14
Journal	Bulletin of the London Mathematical Society
Volume	38
Issue number	1
DOIs	https://doi.org/10.1112/S0024609305018187
Publication status	Published - Feb 2006
Externally published	Yes

ASJC Scopus subject areas

General Mathematics

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10.1112/S0024609305018187

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title = "Schur superalgebras in characteristic p, II",

abstract = "It is proved that if a Schur superalgebra is not semisimple, then it is neither cellular nor quasi-hereditary (Theorem 2), and it has infinite global dimension (Corollary 18). The algebra S(m|n, r) with m, n ≥ 1 is semisimple if and only lip, the characteristic of the ground field, is zero or greater than r, or when m = n = 1 and p does not divide r.",

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AU - Zubkov, Alexandr N.

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N2 - It is proved that if a Schur superalgebra is not semisimple, then it is neither cellular nor quasi-hereditary (Theorem 2), and it has infinite global dimension (Corollary 18). The algebra S(m|n, r) with m, n ≥ 1 is semisimple if and only lip, the characteristic of the ground field, is zero or greater than r, or when m = n = 1 and p does not divide r.

AB - It is proved that if a Schur superalgebra is not semisimple, then it is neither cellular nor quasi-hereditary (Theorem 2), and it has infinite global dimension (Corollary 18). The algebra S(m|n, r) with m, n ≥ 1 is semisimple if and only lip, the characteristic of the ground field, is zero or greater than r, or when m = n = 1 and p does not divide r.

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M3 - Article

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Schur superalgebras in characteristic p, II

Abstract

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