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Cellular and quasihereditary structures of generalized quantized Schur algebras
Cellular quasihereditary structures generalized quantized Schur algebras
2011/3/1
We give a self-contained derivation of a new cellular basis of generalized quantized Schur algebras, independent of the theory of quantum groups.
Integrable invariant almost complex structures are introduced in the setting of Lie-Hopf
superalgebras. This leads to a convenient description of the subsheaf of holomorphic
superfunctions in the sh...
Yang-Baxter operators from algebra structures and Lie superalgebras
Yang-Baxter operators algebra structures Lie superalgebras
2010/11/29
We present solutions for the (constant and spectral-parameter) Yang-Baxter equations and Yang-Baxter systems arising from algebra struc-tures. In the last section, we present enhanced versions of Theo...
Derivation-Simple Algebras and the Structures of Generalized Lie Algebras of Witt Type
Derivation-Simple Algebras Structures Lie Algebras of Witt Type
2010/11/1
We classify all the pairs of a commutative associative algebra with an identity element and its finite-dimensional commutative locally-finite derivation subalgebra such that the commutative associati...