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.

Article information

Taiwanese J. Math., Volume 23, Number 5 (2019), 1091-1113.

Received: 4 May 2018
Revised: 3 November 2018
Accepted: 19 November 2018
First available in Project Euclid: 30 November 2018

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Zentralblatt MATH identifier

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. 23 (2019), no. 5, 1091--1113. doi:10.11650/tjm/181111. https://projecteuclid.org/euclid.twjm/1543546838

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