Results 31 to 40 of about 196,827 (283)
Combinatorial descriptions of the crystal structure on certain PBW bases [PDF]
Lusztig's theory of PBW bases gives a way to realize the crystal B(∞) for any simple complex Lie algebra where the underlying set consists of Kostant partitions. In fact, there are many different such realizations, one for each reduced expression for the
Ben Salisbury +2 more
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A max-flow algorithm for positivity of Littlewood-Richardson coefficients [PDF]
Littlewood-Richardson coefficients are the multiplicities in the tensor product decomposition of two irreducible representations of the general linear group $\mathrm{GL}(n,\mathbb{C})$.
Peter Bürgisser, Christian Ikenmeyer
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The biHecke monoid of a finite Coxeter group
The usual combinatorial model for the 0-Hecke algebra of the symmetric group is to consider the algebra (or monoid) generated by the bubble sort operators. This construction generalizes to any finite Coxeter group W. The authors previously introduced the
Hivert, Florent +2 more
core +3 more sources
Special matchings in Coxeter groups
Special matchings are purely combinatorial objects associated with a partially ordered set, which have applications in Coxeter group theory. We provide an explicit characterization and a complete classification of all special matchings of any lower ...
Caselli, Fabrizio, Marietti, Mario
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Effective Invariant Theory of Permutation Groups using Representation Theory [PDF]
Using the theory of representations of the symmetric group, we propose an algorithm to compute the invariant ring of a permutation group. Our approach have the goal to reduce the amount of linear algebra computations and exploit a thinner combinatorial ...
A Colin +9 more
core +6 more sources
ABSTRACT Purpose Although not always achieved, complete chemotherapy‐induced nausea and vomiting (CINV) control is the conventional goal of CINV prophylaxis. In this two‐center, mixed‐methods study, we sought to understand the preferences of adolescent patients and family caregivers for CINV control endpoints.
Haley Newman +8 more
wiley +1 more source
Chern-Simons approach to three-manifold invariants
% A new, formal, non-combinatorial approach to invariants of % three-dimensional manifolds of Reshetikhin, Turaev and % Witten in the framework of non-perturbative topological % quantum Chern-Simons theory, corresponding to an arbitrary % compact simple ...
Broda, Boguslaw
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ABSTRACT Background Gastrointestinal graft‐versus‐host disease (GI GVHD) following hematopoietic stem cell transplant is typically managed with medical therapy, but surgery and angioembolization may be warranted in selected cases with life‐threatening complications.
Gaia Brunetti +12 more
wiley +1 more source
A combinatorial realization of Schur-Weyl duality via crystal graphs and dual equivalence graphs [PDF]
For any polynomial representation of the special linear group, the nodes of the corresponding crystal may be indexed by semi-standard Young tableaux. Under certain conditions, the standard Young tableaux occur, and do so with weight $0$.
S. Assaf
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On Periodic Groups Saturated with Finite Frobenius Groups
A group is called weakly conjugate biprimitively finite if each its element of prime order generates a finite subgroup with any of its conjugate elements. A binary finite group is a periodic group in which any two elements generate a finite subgroup. If $
B. E. Durakov, A.I. Sozutov
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