Taiwanese Journal of Mathematics
- Taiwanese J. Math.
- Volume 23, Number 5 (2019), 1091-1113.
Character Formulas for Simple Modules of Hamiltonian Lie Superalgebras of Odd Type
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.
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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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