代数的恒等式的余循环变形与R-矩阵
Cocycle Deformations of Algebraic Identities and R-matrices
摘要：
对于向量空间V的张量上的映射L和R的合成之间的任意恒等式L=R，给出了2-上循环条件的一般构造。这些2-上循环对应于那些在变形理论的代数。并将其应用于消去对偶和消去余对偶，给出了具体的计算实例。讨论了与Kauffman括号和纽结不变量的关系。
英文摘要：
For an arbitrary identity L=R between compositions of maps L and R on tensors of vector spaces V, a general construction of a 2-cocycle condition is given. These 2-cocycles correspond to those obtained in deformation theories of algebras. The construction is applied to a canceling pairings and copairings, with explicit examples with calculations. Relations to the Kauffman bracket and knot invariants are discussed.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
