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math.QA2011
The odd Littlewood-Richardson rule
Alexander P. Ellis
In previous work with Mikhail Khovanov and Aaron Lauda we introduced two odd analogues of the Schur functions: one via the combinatorics of Young tableaux (odd Kostka numbers) and…
math.QA2011★ 51 cited
The odd nilHecke algebra and its diagrammatics
Alexander P. Ellis, Mikhail Khovanov, Aaron D. Lauda
We introduce an odd version of the nilHecke algebra and develop an odd analogue of the thick diagrammatic calculus for nilHecke algebras. We graphically describe idempotents which…
math.QA2011
The Hopf algebra of odd symmetric functions
Alexander P. Ellis, Mikhail Khovanov
We consider a q-analogue of the standard bilinear form on the commutative ring of symmetric functions. The q=-1 case leads to a Z-graded Hopf superalgebra which we call the algebra…