5 papers
Morita equivalences between cyclotomic KLR algebras in types and
Chris Bowman, Robert Muth, Liron Speyer +1
We prove that level one cyclotomic KLR algebras in type are graded Morita equivalent to level two cyclotomic KLR algebras in type . We hence…
The many graded cellular bases of Hecke algebras
C. Bowman
We settle a long-standing problem in the theory of Hecke algebras of complex reflection groups by constructing many (graded) integral cellular bases of these algebras. As applicati…
The anti-spherical Hecke categories for Hermitian symmetric pairs
Chris Bowman, Maud De Visscher, Amit Hazi +1
We calculate the -Kazhdan--Lusztig polynomials for Hermitian symmetric pairs and prove that the corresponding anti-spherical Hecke categories categories are standard Koszul. We…
Oriented Temperley--Lieb algebras and combinatorial Kazhdan--Lusztig theory
Chris Bowman, Maud De Visscher, Niamh Farrell +2
We define oriented Temperley--Lieb algebras for classical Hermitian symmetric spaces. This allows us to explain the existence of closed combinatorial formulae for the Kazhdan--Lusz…
Faithful covers of Khovanov arc algebras
Chris Bowman, Maud De Visscher, Alice Dell'Arciprete +3
We show that the extended Khovanov algebra is an -faithful cover of the Khovanov arc algebra .