Equivalence of Conformal Superalgebras to Hamiltonian Superoperators

• 来源期刊: 代数集刊（英文版）
• 学科: 数学
• 关键词: conformal superalgebras super functions Hamiltonian superoperators equivalence
• 年，卷（期）: 2001,（1）
• 页码范围: 63-92
• 页数: 30页
• 分类号: O1
• 语种: 英文

摘要

In this paper, we present a formal variational calculus of super functions in one real variable and find the conditions for a "matrix differential operator'' to be a Hamiltonian superoperator. Moreover, we prove that conformal superalgebras are equivalent to certain Hamiltonian superoperators.