Titlebook: Quantum Lie Theory; A Multilinear Approa Vladislav Kharchenko Book 2015 Springer International Publishing Switzerland 2015 17B37,20G42,16T2

parallelism

Quantizations of Kac-Moody Algebras,cations in construction and different notations, so it is often unclear whether the results of one work may be applied to the construction of another. Nevertheless all of the constructions are character Hopf algebras. In view of the fact that the number and degrees of relations in all of the constru

Entrancing

Influx

Braided Hopf Algebras,space of a given braided space .. Then we define a Nichols algebra . as a subalgebra generated by . in ..(. ) and provide some characterizations of it. Finally we adopt the Radford biproduct and the Majid bozonization to character Hopf algebras. All calculations are done in the braid monoid (not in

AIL

Algebra of Primitive Nonassociative Polynomials, the skew-primitive polynomials as operations for quantum Lie theory in Chaps.?. and?5. Many of the well-known generalizations of Lie algebras involve only one or two operations. For instance, Malcev algebras have one binary bracket; Lie triple systems have one ternary bracket; Bol and Lie-Yamaguti

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0075-8434 over the last 15-20 years to define a quantum Lie algebra as an elegant algebraic object with a binary “quantum” Lie bracket have not been widely accepted. In this book, an alternative approach is developed that includes multivariable operations. Among the problems discussed are the following: a PBW

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atopic

Flu表流動(dòng)

,Poincaré-Birkhoff-Witt Basis,group . of all group-like elements is commutative and . is generated over .?[.] by skew-primitive semi-invariants, whereas a well-ordered subset . is a set of PBW generators of . if there exists a function . called the height function, such that the set of all products . where . is a basis of ..?

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978-3-319-22703-0Springer International Publishing Switzerland 2015

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