DOI10.4310/PAMQ.2006.v2.n4.a4zbMath1127.20005arXivmath/0601343OpenAlexW2025344838MaRDI QIDQ866457
Arun Ram
Publication date: 20 February 2007
Published in: Pure and Applied Mathematics Quarterly (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0601343
Shadows in the wild - folded galleries and their applications,
Combinatorics in affine flag varieties,
Signature characters of invariant Hermitian forms on irreducible Verma modules and Hall-Littlewood polynomials,
Generalized Weyl modules and nonsymmetric \(q\)-Whittaker functions,
Littelmann paths for the basic representation of an affine Lie algebra,
Subalgebras of the Fomin-Kirillov algebra,
A Littlewood-Richardson rule for Koornwinder polynomials,
A Littlewood-Richardson rule for Macdonald polynomials,
A combinatorial formula for Macdonald polynomials,
A combinatorial formula for Sahi, Stokman, and Venkateswaran's generalization of Macdonald polynomials,
Gelfand-Tsetlin-type weight bases for all special linear Lie algebra representations corresponding to skew Schur functions,
Chimney retractions in affine buildings encode orbits in affine flag varieties,
Affine Deligne-Lusztig varieties and folded galleries governed by chimneys,
Hall-Littlewood polynomials, alcove walks, and fillings of Young diagrams,
Specializing Koornwinder polynomials to Macdonald polynomials of type \(B\), \(C\), \(D\) and \(BC\),
Pieri formulas for Macdonald's spherical functions and polynomials,
Macdonald-positive specializations of the algebra of symmetric functions: proof of the Kerov conjecture,
Unitary representations of affine Hecke algebras related to Macdonald spherical functions,
Finite traces and representations of the group of infinite matrices over a finite field,
Positive Level, Negative Level and Level Zero,
Macdonald formula for spherical functions on affine buildings,
The Steinberg-Lusztig tensor product theorem, Casselman-Shalika, and LLT polynomials,
Alcove walks and nearby cycles on affine flag manifolds.,
On combinatorial formulas for MacDonald polynomials,
Distance regularity in buildings and structure constants in Hecke algebras,
The homotopy type of toric arrangements,
A Local Limit Theorem for Random Walks on the Chambers of Ã2 Buildings,
Shadows in Coxeter groups,
Hecke group algebras as quotients of affine Hecke algebras at level 0.,
Walk algebras, distinguished subexpressions, and point counting in Kac-Moody flag varieties,
Dimensions of Affine Deligne–Lusztig Varieties: A New Approach via Labeled Folded Alcove Walks and Root Operators,
Balanced representations, the asymptotic Plancherel formula, and Lusztig's conjectures for \( \tilde{C}_2\),
A rigged configuration model for \(B(\infty)\),
Bijective projections on parabolic quotients of affine Weyl groups
