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math.QA2000
An Algebra of Skew Primitive Elements
V. K. Kharchenko
We study the various term operations on the set of skew primitive elements of Hopf algebras, generated by skew primitive semi-invariants of an Abelian group of grouplike elements.…
math.QA2000
A quantum analog of the Poincare-Birkhoff-Witt theorem
Vladislav Kharchenko
We reduce the basis construction problem for Hopf algebras generated by skew-primitive semi-invariants to a study of special elements, called ``super-letters,'' which are defined b…
math.QA2000
A combinatorial approach to quantification of Lie algebras
V. K. Kharchenko
We propose a notion of a quantum universal enveloping algebra for an arbitrary Lie algebra defined by generators and relations which is based on the quantum Lie operation concept.…