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Epsilon systems on geometric crystals of type $A_{n}$ .

Nakashima, Toshiki (2010)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

Équations de Knizhnik-Zamolodchikov et théorie des représentations

Olivier Mathieu (1993/1994)

Séminaire Bourbaki

Equivariant Morita equivalences between Podleś spheres

Kenny De Commer (2012)

Banach Center Publications

We show that the family of Podleś spheres is complete under equivariant Morita equivalence (with respect to the action of quantum SU(2)), and determine the associated orbits. We also give explicit formulas for the actions which are equivariantly Morita equivalent with the quantum projective plane. In both cases, the computations are made by examining the localized spectral decomposition of a generalized Casimir element.

Exact Lie Bialgebroids and Poisson Groupoids.

Z.J. Liu, P. Xu (1996)

Geometric and functional analysis

Examples of liftings of Nichols algebras over racks.

Andruskiewitsch, Nicolás, Graña, Matías (2003)

AMA. Algebra Montpellier Announcements [electronic only]

Examples of tensor categories.

David Kazhdan, Sergei Gelfand (1992)

Inventiones mathematicae

Exponentiations over the quantum algebra $U_{q} (s l_{2} (ℂ))$

Sonia L’Innocente, Françoise Point, Carlo Toffalori (2013)

Confluentes Mathematici

We define and compare, by model-theoretical methods, some exponentiations over the quantum algebra $U_{q} (s l_{2} (ℂ))$ . We discuss two cases, according to whether the parameter $q$ is a root of unity. We show that the universal enveloping algebra of $s l_{2} (ℂ)$ embeds in a non-principal ultraproduct of $U_{q} (s l_{2} (ℂ))$ , where $q$ varies over the primitive roots of unity.