Displaying similar documents to “Quantum sections and Gauge algebras.”

Quantum deformation of relativistic supersymmetry

Sobczyk, Jan

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From the text: The author reviews recent research on quantum deformations of the Poincaré supergroup and superalgebra. It is based on a series of papers (coauthored by P. Kosiński, J. Lukierski, P. Maślanka and A. Nowicki) and is motivated by both mathematics and physics. On the mathematical side, some new examples of noncommutative and noncocommutative Hopf superalgebras have been discovered. Moreover, it turns out that they have an interesting internal structure of graded bicrossproduct....

How to categorify one-half of quantum 𝔤𝔩(1|2)

Mikhail Khovanov (2014)

Banach Center Publications

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We describe a collection of differential graded rings that categorify weight spaces of the positive half of the quantized universal enveloping algebra of the Lie superalgebra 𝔤𝔩(1|2).

Weak dimension of group-graded rings.

Angel del Río (1990)

Publicacions Matemàtiques

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We study the weak dimension of a group-graded ring using methods developed in [B1], [Q] and [R]. We prove that if R is a G-graded ring with G locally finite and the order of every subgroup of G is invertible in R, then the graded weak dimension of R is equal to the ungraded one.