Cohomology of ${\frak{q}}(2)$ in Prime Characteristic

Shujuan Wang , Wende Liu , Yang Liu

Chinese Annals of Mathematics, Series B ›› 2026, Vol. 47 ›› Issue (3) : 573 -592.

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Chinese Annals of Mathematics, Series B ›› 2026, Vol. 47 ›› Issue (3) :573 -592. DOI: 10.1007/s11401-026-0009-8
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Cohomology of ${\frak{q}}(2)$ in Prime Characteristic
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Abstract

Over an algebraically closed field of characteristic p > 2, the 0-dimensional and 1-dimensional cohomology of the queer Lie superalgebra ${\frak{q}}(2)$ with coefficients in all baby Verma modules and all simple modules are determined.

Keywords

Queer Lie superalgebras / Baby Verma modules / Simple modules / Cohomology / 17B40 / 17B50 / 17B56

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Shujuan Wang, Wende Liu, Yang Liu. Cohomology of ${\frak{q}}(2)$ in Prime Characteristic. Chinese Annals of Mathematics, Series B, 2026, 47 (3) : 573-592 DOI:10.1007/s11401-026-0009-8

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