Taiwanese Journal of Mathematics

Character Formulas for Simple Modules of Hamiltonian Lie Superalgebras of Odd Type

Wende Liu, Jixia Yuan, and Shujuan Wang

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In this paper, character formulas are explicitly characterized for all simple restricted modules of Hamiltonian Lie superalgebras of odd type over an algebraically closed field of characteristic $p \gt 3$. In the process we use the lengths and highest weights of simple quotients of restricted Kac modules of atypical weights with respect to a series of Borel subalgebras to determine the composition factors, composition series and the character formulas for the restricted Kac modules of atypical weights for the Lie superalgebras under consideration.

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Taiwanese J. Math., Advance publication (2019), 23 pages.

First available in Project Euclid: 30 November 2018

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Primary: 17B10: Representations, algebraic theory (weights) 17B50: Modular Lie (super)algebras 17B66: Lie algebras of vector fields and related (super) algebras

Hamiltonian Lie superalgebras of odd type restricted Kac modules atypical weights character formulas


Liu, Wende; Yuan, Jixia; Wang, Shujuan. Character Formulas for Simple Modules of Hamiltonian Lie Superalgebras of Odd Type. Taiwanese J. Math., advance publication, 30 November 2018. doi:10.11650/tjm/181111. https://projecteuclid.org/euclid.twjm/1543546838

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