Results 71 to 80 of about 104 (103)
Forum of Mathematics, SigmaIn our previous paper, we gave a presentation of the torus-equivariant quantum K-theory ring $QK_{H}(Fl_{n+1})$ of the (full) flag manifold $Fl_{n+1}$ of type $A_{n}$ as a quotient of a polynomial ring by an explicit ideal.
Toshiaki Maeno +2 more
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Free fermionic probability theory and k-theoretic schubert calculus
Forum of Mathematics, SigmaFor each of the four particle processes given by Dieker and Warren, we show the n-step transition kernels are given by the (dual) (weak) refined symmetric Grothendieck functions up to a simple overall factor. We do so by encoding the particle dynamics as
Shinsuke Iwao +2 more
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Positively multiplicative graphs and homology rings of affine Grassmannians
Let \(\mathfrak{g}\) be an untwisted affine Lie algebra with associated Weyl group \(W_a\) and let \(W\) be the Weyl group of the corresponding simple Lie algebra.
Pierre Tarrago +2 more
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The quasisymmetric flag variety: A toric complex on noncrossing partitions
Forum of Mathematics, PiWe develop the geometric theory of equivariant quasisymmetry via a new “quasisymmetric flag variety.” This is a toric complex in the flag variety whose fixed point set is the set of (algebraic) noncrossing partitions, and whose cohomology ring is the ...
Nantel Bergeron +4 more
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Diagonal operators, \(q\)-Whittaker functions and rook theory
We discuss the problem posed by Bender, Coley, Robbins and Rumsey of enumerating the number of subspaces which have a given profile with respect to a linear operator over the finite field \(\mathbb{F}_q\).
Ram, Samrith, Schlosser, Michael J.
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Bounded Littlewood identity related to alternating sign matrices
Forum of Mathematics, SigmaAn identity that is reminiscent of the Littlewood identity plays a fundamental role in recent proofs of the facts that alternating sign triangles are equinumerous with totally symmetric self-complementary plane partitions and that alternating sign ...
Ilse Fischer
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Towards a Theory of Negative Dependence
, 1999 : The FKG theorem says that the POSITIVE LATTICE CONDITION, an easily checkable hypothesis which holds for many natural families of events, implies POSITIVE ASSOCIATION, a very useful property.
Robin Pemantle
core
Plethysms, replicated Schur functions and series, with applications to vertex operators
, 2010 Specializations of Schur functions are exploited to define and evaluate the Schur functions sλ[αX] and plethysms sλ[αsν(X))] for any α—integer, real or complex.
King, RC (15505076) +2 more
core
Augmented monomials in terms of power sums. [PDF]
Springerplus, 2015 Merca M.
europepmc +1 more source