Constructs Hecke algebras and asymptotic versions for G(M,M,N) complex reflection groups by generalizing the dihedral case.
Sandwich cellularity and a version of cell theory
4 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
abstract
We explain how the theory of sandwich cellular algebras can be seen as a version of cell theory for algebras. We apply this theory to many examples such as Hecke algebras, and various monoid and diagram algebras.
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UNVERDICTED 4representative citing papers
Introduces uncoiled affine and periodic Temperley-Lieb algebras as finite quotients and constructs explicit Wenzl-Jones idempotents projecting onto their one-dimensional modules, with Markov trace evaluations expressed via Chebyshev polynomials.
Derives asymptotic formulas for the growth rate of the number of summands in tensor powers of the generating object in semisimple diagram/interpolation categories.
Formulas are discussed for the asymptotic growth rate of summands in tensor powers in monoidal categories with infinitely many indecomposables, using generalized Perron-Frobenius theory and random walk techniques.
citing papers explorer
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On Hecke and asymptotic categories for a family of complex reflection groups
Constructs Hecke algebras and asymptotic versions for G(M,M,N) complex reflection groups by generalizing the dihedral case.
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Uncoiled affine Temperley-Lieb algebras and their Wenzl-Jones projectors
Introduces uncoiled affine and periodic Temperley-Lieb algebras as finite quotients and constructs explicit Wenzl-Jones idempotents projecting onto their one-dimensional modules, with Markov trace evaluations expressed via Chebyshev polynomials.
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Growth problems in diagram categories
Derives asymptotic formulas for the growth rate of the number of summands in tensor powers of the generating object in semisimple diagram/interpolation categories.
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Asymptotics in infinite monoidal categories
Formulas are discussed for the asymptotic growth rate of summands in tensor powers in monoidal categories with infinitely many indecomposables, using generalized Perron-Frobenius theory and random walk techniques.