Taiwanese Journal of Mathematics

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

Abstract

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

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

Dates
Revised: 3 November 2018
Accepted: 19 November 2018
First available in Project Euclid: 30 November 2018

https://projecteuclid.org/euclid.twjm/1543546838

Digital Object Identifier
doi:10.11650/tjm/181111

Mathematical Reviews number (MathSciNet)
MR4012371

Zentralblatt MATH identifier
07126940

Citation

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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