The disoriented skein category is defined and shown equivalent to the iquantum Brauer category, serving as an interpolating module category with full incarnation functors to modules over iquantum enveloping algebras.
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Proves nonsemisimple quantum Howe duality for Sp(2n) and SL(2) on exterior algebra of type C, with character formulas and canonical bases.
A diagrammatic category equivalent to tilting representations of the orthogonal group is defined and its semisimplification is described, valid in characteristic not equal to two.
citing papers explorer
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The disoriented skein and iquantum Brauer categories
The disoriented skein category is defined and shown equivalent to the iquantum Brauer category, serving as an interpolating module category with full incarnation functors to modules over iquantum enveloping algebras.
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On a symplectic quantum Howe duality
Proves nonsemisimple quantum Howe duality for Sp(2n) and SL(2) on exterior algebra of type C, with character formulas and canonical bases.
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Orthogonal webs and semisimplification
A diagrammatic category equivalent to tilting representations of the orthogonal group is defined and its semisimplification is described, valid in characteristic not equal to two.