Super Solutions of the Dynamical Yang-Baxter Equation

Authors

Gizem Karaali, Pomona CollegeFollow

Document Type

Article

Department

Mathematics (Pomona)

Publication Date

2006

Keywords

Yang-Baxter equation, Lie superalgebra, super dynamical r-matrices, zero weight condition

Abstract

Solutions of the classical dynamical Yang-Baxter equation on a Lie superalgebra are called super dynamical r−matrices. A super dynamical r−matrix r satisfies the zero weight condition if

[h ⊗ 1 + 1 ⊗ h, r(λ)] = 0 for all h ∈ ɧ, λ ∈ ɧ ∗ .

In this paper we classify super dynamical r−matrices with zero weight.

Comments

First published in Proceedings of the American Mathematical Society in Volume 134, Number 9, September 2006, published by the American Mathematical Society

Rights Information

© 2006 American Mathematical Society

Terms of Use & License Information

Terms of Use for work posted in Scholarship@Claremont.

DOI

10.1090/S0002-9939-06-08495-4

Recommended Citation

Karaali, G., Super Solutions of the Dynamical Yang-Baxter Equation, Proceedings of the American Mathematical Society, Volume 134 Number 9 (September 2006), pages 2521– 2531. MR2213729. doi: 10.1090/S0002-9939-06-08495-4