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Hopf Algebras and Their Bicovariant Calculi,on associated algebras, including the theory of the quantum Lie algebra of a bicovariant calculus and of braided-Lie algebras in the coquasitriangular case. Basic examples include q-SU. and the associated q-sphere. The chapter ends with the notion of a bar category needed to formulate complex conjugation and *-operations in a more categorical way.刺激 发表于 2025-3-26 03:08:45
0072-7830 mmutative geometry of Alain Connes in a complementary way.Co.This book provides a comprehensive account of a modern generalisation of differential geometry in which coordinates need not commute. This requires a reinvention of differential geometry that refers only to the coordinate algebra, now posstic-douloureux 发表于 2025-3-26 04:22:50
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https://doi.org/10.1007/978-3-030-30294-8noncommutative geometry; quantum groups; Hopf algebra; differential graded algebra; quantum Levi-Civitahypertension 发表于 2025-3-26 13:25:17
Quantum Complex Structures,This chapter formulates noncommutative complex structures along the lines of classical complex manifold theory including a bigrading of the exterior algebra to give a double complex. We then study holomorphic modules and implications for cohomology theories. Examples include the noncommutative torus and the q-sphere.半导体 发表于 2025-3-26 17:54:44
Edwin J. Beggs,Shahn MajidProvides a self-contained and constructive approach to noncommutative differential geometry, which connects to the earlier approach to noncommutative geometry of Alain Connes in a complementary way.Co