Paths and Root Operators in Representation Theory

1995/11/01 by Peter Littelmann · 10 citations
Mathematics · #Advanced Combinatorial Mathematics #Advanced Topics in Algebra #Algebra over a field #Algebraic structures and combinatorial models #Linguistics #Mathematics #Pure mathematics #Representation (politics) #Root (linguistics)

paper · doi:10.2307/2118553

crossref issued 1995/11/01 · crossref published 1995/11/01 · crossref published-print 1995/11/01 · openalex publication_date 1995/11/01 · crossref created 2006/04/24 · crossref deposited 2018/04/18 · openalex created_date 2025/10/10 · crossref indexed 2026/06/16 · openalex updated_date 2026/06/16

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• Multiplicity formulas for fundamental strings of representations of classical Lie algebras
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• Rigged Configurations for all Symmetrizable Types
• Lusztig sheaves, decomposition rule and restriction rule
• Crystal bases and three-dimensional N=4 Coulomb branches
• Applications des immeubles en théorie des représentations
• Langlands Duality for Representations and Quantum Groups at a Root of Unity
• Littelmann path model [wikipedia]
• Restricted representation [wikipedia]