论文标题

量子面包车同构

Quantum van Est Isomorphism

论文作者

Kaygun, Atabey, Sütlü, Serkan

论文摘要

受到谎言群体的HOPF-CYCLIC(CO)功能的同源性的动机,而普遍包围代数代数代数捕获了谎言群体和谎言代数(CO)同源性,我们在此升级了经典的van esomorphism,将其升级到hopf-cycligiand量的量子化量和量子化量的量子化量的量子范围内,并升级。 $ h $ - adic和$ q $ - 构造框架。

Motivated by the fact that the Hopf-cyclic (co)homologies of function algebras over Lie groups and universal enveloping algebras over Lie algebras capture the Lie group and Lie algebra (co)homologies, we hereby upgrade the classical van Est isomorphism to ones between the Hopf-cyclic (co)homologies of quantized algebras of functions and quantized universal enveloping algebras, both in $h$-adic and $q$-deformation frameworks.

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