scholarly journals Kac-Moody groups, hovels and Littelmann paths

2008 ◽  
Vol 58 (7) ◽  
pp. 2605-2657 ◽  
Author(s):  
Stéphane Gaussent ◽  
Guy Rousseau
Keyword(s):  
Littelmann Paths

scholarly journals Littelmann paths and Brownian paths

2005 ◽  
Vol 130 (1) ◽  
pp. 127-167 ◽  
Author(s):  
Philippe Biane ◽  
Philippe Bougerol ◽  
Neil O'connell
Keyword(s):  
Littelmann Paths

scholarly journals A study of Kostant-Kumar modules via Littelmann paths

2021 ◽  
Vol 381 ◽  
pp. 107614
Author(s):  
Mrigendra Singh Kushwaha ◽  
K.N. Raghavan ◽  
Sankaran Viswanath
Keyword(s):  
Littelmann Paths

scholarly journals On the connection between Young walls and Littelmann paths

2010 ◽  
Vol 323 (8) ◽  
pp. 2326-2336
Author(s):  
Myungho Kim ◽  
Sungsoon Kim
Keyword(s):  
Littelmann Paths

scholarly journals On a conjecture of Naito-Sagaki: Littelmann paths and Littlewood-Richardson Sundaram tableaux

2021 ◽  
pp. 305-319
Author(s):  
Jacinta Torres
Keyword(s):  
Fixed Point ◽  
Irreducible Representation ◽  
Recent Work ◽  
Lie Algebra ◽  
Fixed Point Set ◽  
New Approach ◽  
Branching Rule ◽  
Branching Rules ◽  
Point Set ◽  
Littelmann Paths

In recent work with Schumann we have proven a conjecture of Naito-Sagaki giving a branching rule for the decomposition of the restriction of an irreducible representation of the special linear Lie algebra to the symplectic Lie algebra, therein embedded as the fixed-point set of the involution obtained by the folding of the corresponding Dyinkin diagram. It provides a new approach to branching rules for non-Levi subalgebras in terms of Littelmann paths. In this paper we motivate this result, provide examples, and give an overview of the combinatorics involved in its proof.

scholarly journals A non-levi branching rule in terms of Littelmann paths

2018 ◽  
Vol 117 (5) ◽  
pp. 1077-1100 ◽  
Author(s):  
Bea Schumann ◽  
Jacinta Torres
Keyword(s):  
Branching Rule ◽  
Littelmann Paths

scholarly journals Affine quantum Schur algebras at roots of unity

2017 ◽  
Vol 28 (07) ◽  
pp. 1750056
Author(s):  
Qiang Fu
Keyword(s):  
London Mathematical Society ◽  
Roots Of Unity ◽  
Hall Algebra ◽  
Schur Algebras ◽  
Schur Algebra ◽  
Finite Dimensional ◽  
Irreducible Modules ◽  
Algebra Approach ◽  
Weyl Theory ◽  
Littelmann Paths

Finite dimensional irreducible modules for the affine quantum Schur algebra [Formula: see text] were classified in [B. Deng, J. Du and Q. Fu, A Double Hall Algebra Approach to Affine Quantum Schur–Weyl Theory, London Mathematical Society Lecture Note Series, Vol. 401 (Cambridge University Press, Cambridge, 2012), Chapt. 4] when [Formula: see text] is not a root of unity. We will classify finite-dimensional irreducible modules for affine quantum Schur algebras at roots of unity and generalize [J. A. Green, Polynomial Representations of [Formula: see text] , 2nd edn., with an appendix on Schensted correspondence and Littelmann paths by K. Erdmann, J. A. Green and M. Schocker, Lecture Notes in Mathematics, Vol. 830 (Springer-Verlag, Berlin, 2007), (6.5f) and (6.5g)] to the affine case in this paper.

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