Results 101 to 110 of about 11,601,754 (180)

The Poset of k-shapes and Branching Rules for k-Schur Functions

, 2013
tfylam@umich.edu; lapointe@inst-mat.utalca.cl; morsej@math.drexel.edu; mshimo@vt ...
Lam, Thomas, Lapointe, Luc, Morse, Jennifer, Shimozono, Mark   +3 more
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Categorification of $k$-Schur functions and refined Macdonald positivity

v2, 57 pages. Extensively revised; notation has been updated to align with arXiv:2301.00862, with many additional details and examples. The proof of Theorem 7.1 (prepared through \S5--6) is now more direct. We have also added \S1.1 and expanded \S9--10. Another round of revisions is expected before journal submission.
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ON SOME FACTORIZATION FORMULAS OF $K$-$k$-SCHUR FUNCTIONS (Combinatorics of Lie Type)

ON SOME FACTORIZATION FORMULAS OF $K$-$k$-SCHUR FUNCTIONS (Combinatorics of Lie Type)
We give some new formulas about factorizations of K-ksim Schur functions g_{$lambda$}^{(k)}, analogous to the k-rectangle factorization formula s_{(t^{k+1-mathrm{t}})cup $lambda$}^{(k)}= s_{(t^{k+1-t})}^{(k)}s_{$lambda$}^{(k)} of k-Schur functions. Although the formula of the same form does not hold for K-k-Schur functions, we can prove that g_{R_{t}}^{
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Alternating dual Pieri rule conjecture and $k$-branching conjecture of closed $k$-Schur Katalan functions

For closed $k$-Schur Katalan functions $\fgλ{k}$ with $k$ a positive integer and $λ$ a $k$-bounded partition, Blasiak, Morse and Seelinger proposed the alternating dual Pieri rule conjecture and the $k$-branching conjecture. In the present paper, we positively prove the first one for large enough $k$ and for strictly decreasing partitions $λ ...
Fang, Yaozhou, Gao, Xing
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Quantum cohomology and the k-Schur basis [PDF]

, 2007
Retrieved October 30, 2007 from http://xxx.lanl.gov/find/grp_math/1/au:+Morse_J/0/1/0/all/0/1We prove that structure constants related to Hecke algebras at roots of unity are special cases of k-Littlewood-Richardson coefficients associated to a product ...
Morse, Jennifer, Lapointe, Luc
core  

Computing, Combinatorics, and $k$-Schur Functions

Notices of the American Mathematical Society, 2018
openaire   +1 more source

Multi-rate sampled-data control for T-S fuzzy systems with mismatched fuzzy basis functions. [PDF]

PLoS One
Nguyen KH.
europepmc   +1 more source

Eigenweights for arithmetic Hirzebruch Proportionality. [PDF]

PNAS Nexus
Feng T.
europepmc   +1 more source

Universal work extraction in quantum thermodynamics. [PDF]

Nat Commun
Watanabe K, Takagi R.
europepmc   +1 more source

The new rank-based concentration index: Further analysis and properties. [PDF]

PLoS One
Kvålseth TO.
europepmc   +1 more source