A generalization of Coxeter groups, root systems, and Matsumoto’s theorem

I. Heckenberger, Hiroyuki Yamane

Type: Article

Publication Date: 2007-07-18

Citations: 78

DOI: https://doi.org/10.1007/s00209-007-0223-3

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Locations

Mathematische Zeitschrift - View
arXiv (Cornell University) - PDF

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Works That Cite This (77)

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+	Root Systems in Lie Theory: From the Classic Definition to Nowadays	2024	Iván Angiono
+	Rank 4 finite-dimensional Nichols algebras of diagonal type in positive characteristic	2020	Jing Wang
+ PDF Chat	Natural elements of center of generalized quantum groups	2020	Punita Batra Hiroyuki Yamane
+ PDF Chat	Finite GK-dimensional pre-Nichols algebras of super and standard type	2023	Iván Angiono Emiliano Campagnolo Guillermo Sanmarco
+ PDF Chat	Typical irreducible characters of generalized quantum groups	2020	Hiroyuki Yamane
+	Quantum supersymmetric pairs and ıSchur duality of type AIII	2024	Yaolong Shen
+	Right coideal subalgebras of Nichols algebras and the Duflo order on the Weyl groupoid	2009	I. Heckenberger Henriette Schneider
+	The Nichols algebra of a semisimple Yetter-Drinfeld module	2008	Nicolás Andruskiewitsch I. Heckenberger Henriette Schneider
+	Root systems and Weyl groupoids for Nichols algebras	2010	I. Heckenberger Hans Schneider
+ PDF Chat	Crystallographic arrangements: Weyl groupoids and simplicial arrangements	2011	Michael Cuntz

Works Cited by This (21)

Action	Title	Year	Authors
+ PDF Chat	The Weyl groupoid of a Nichols algebra of diagonal type	2005	I. Heckenberger
+	Classification of arithmetic root systems of rank 3	2005	I. Heckenberger
+	Introduction to Lie Algebras and Representation Theory	1972	James E. Humphreys
+	The algebraic theory of semigroups	1964	A. H. Clifford G. B. Preston
+	Kac-Moody Groups, their Flag Varieties and Representation Theory	2002	Shrawan Kumar
+	Groupes et algèbres de Lie	1971	Nicolás Bourbaki
+ PDF Chat	Infinite-Dimensional Lie Algebras	1990	Victor G. Kač
+ PDF Chat	Rank 2 Nichols Algebras with Finite Arithmetic Root System	2007	I. Heckenberger
+ PDF Chat	Errata to “On Defining Relations of Affine Lie Superalgebras and Affine Quantized Universal Enveloping Superalgebras”	2001	Hiroyuki Yamane
+	Generalized Kac-Moody algebras	1988	Richard E. Borcherds