Computational and combinatorial aspects of Coxeter groups

Computational and combinatorial aspects of Coxeter groups (1994)

Cached

Download Links

by Henrik Eriksson

Citations:

Citations

1192	Enumerative combinatorics - Stanley - 1999
1041	Infinite-dimensional Lie algebras - Kac - 1990
819	Lattice Theory - Birkhoff
720	Atlas of Finite Groups - Conway, Norton, et al. - 1985
666	Reflection Groups and Coxeter Groups, Cambridge - Humphreys - 1992
537	Groupes et algèbres de Lie - Bourbaki - 1981
426	The art of computer programming, vol 3, Sorting and searching - Knuth - 1973
392	The Art of Computer Programming (Vol. 2 / Seminumerical Algorithms - Knuth - 1981
352	Regular polytopes - Coxeter - 1949
323	The Art of Computer Programming. Vol.1: Fundamental Algorithms. - Knuth - 1973
277	Combinatorics of Coxeter groups - Bjorner, Brenti - 2005
271	Buildings of spherical type and finite BN–pairs - Tits - 1974
219	Generators and relations for discrete groups - Coxeter, Moser - 1972
217	Binomial determinants, paths, and hook length formulae - Gessel, Viennot - 1985
203	Genome rearrangements and sorting by reversals - Bafna, Pevzner - 1993
200	Rational Series and Their Languages - Berstel, Reutenauer - 1988
174	G.: Oriented matroids - Björner, Vergnas, et al. - 1999
171	Problèmes combinatoires de commutation et réarrangement - Cartier, Foata - 1969
156	Computation with finitely presented groups - Sims - 1994
110	The Kazhdan-Lusztig cells in certain affine Weyl groups - Shi - 1986
101	Chip-firing games on graphs,” - Bjorner, Lovasz, et al. - 1991
101	Alan Turing: The Enigma - Hodges - 1983
99	Discrete groups generated by reflections - Coxeter - 1934
92	Hyperbolic Coxeter groups - Moussong - 1988
87	Some characterizations of Bruhat ordering on a Coxeter group and determrnation of the relative m\"obius function, Invent - Deodhar
85	Some examples of square integrable representations of semisimple p-adic groups - Lusztig - 1983
73	Algebraic languages and polyominoes enumeration, Theoretical Computer Science 34 - Delest, Viennot - 1984
73	Heaps of Pieces, I: Basic Definitions and Combinatorial Lemmas - Viennot - 1986
66	q-Eulerian polynomials arising from Coxeter groups, preprint - Brenti - 1993
61	A finiteness property and an automatic structure for coxeter groups, Mathematische Annalen - Brink, Howlett - 1993
57	Word processing in groups - Cannon, Epstein, et al. - 1992
44	A practical method for enumerating cosets of finite abstract groups - Coxeter, Todd - 1936
42	Sign types corresponding to an affine Weyl group - Shi - 1987
41	On the combinatorial classification of nondegenerate configurations in the plane - Goodman, Pollack - 1980
35	Classical Bruhat orders and lexicographic shellability - Proctor - 1982
30	The product of the generators of a finite group generated by reflections - Coxeter - 1951
29	Sur les valeurs propres de la transformation de Coxeter - A’Campo - 1976
29	Generalized quotients in Coxeter groups - Björner, Wachs - 1988
27	Chip-firing games on directed graphs,” - Bjorner, Lovasz - 1992
26	Turing: The enigma, Simon - Hodges, Alan - 1983
23	Complete enumeration of finite groups of the form r2i = (rirj)kij - Coxeter - 1935
22	Le problème des mots dans les groupes de - Tits - 1969
20	Some concept of dependence, Ann - Lehmann - 1966
20	Finite subgroups of SU2, Dynkin diagrams and affine Coxeter elements - Steinberg - 1985
19	The complete enumeration of finite groups of the form R 2 i = (RiRj) kij - Coxeter - 1935
18	Coxeter groups and M-matrices - Howlett - 1982
17	Bounds for sorting by prefix reversals, Discrete mathematics 27 - Gates, Papadimitriou - 1979
13	The spectrum of a Coxeter transformation, affine Coxeter transformations, and the defect map - Berman, Lee, et al. - 1989
12	Strongly convergent games and Coxeter groups - Eriksson - 1993
12	A Maple package for root systems and finite Coxeter groups, manual and code available by ftp from - Stembridge - 1992
11	On the sets of directions determined by n points - Scott - 1970
9	Improved bounds for sorting pancakes under a conjecture, manuscript - Cohen, Blum - 1993
9	The ubiquity of Coxeter-Dynkin diagrams (an introduction to the A-D-E-problem), Nieuw - Hazewinkel, Hesselink, et al. - 1977
9	Spiegelungsgruppen und Aufzählung halbeinfacher Liescher - Witt
8	Essential chains and homotopy type of posets - Björner - 1992
7	Die allgemeinen Grundlagen der Galois’schen Gleichungstheorie - Weber
5	editors, Combinatorial group theory and topology, Annals of mathematical studies 111 - Gersten, Stallings - 1987
5	On reduced expressions in affine Weyl groups - Headley - 1994
5	Algorithms in Modula-3 - Sedgewick - 1993
4	The fifty-nine icosahedra - Coxeter - 1938
4	Chip-firing and Coxeter elements - Eriksson, Eriksson - 1994
3	Mathematical recreations and essays - Coxeter, Ball - 1974
2	Combinatorics of Coxeter groups, book manuscript - Björner, Brenti - 1994
2	Recent results on Coxeter groups - Cohen - 1993
2	The impact of computers on the teaching of university mathematics - Eriksson - 1985
2	Pebble spreading, Kvant - Khodulev - 1982
2	A note on the Coxeter group of type H3 - Sekiguchi, Yano
1	Problem 8 in Problems of present day mathematics - Arnol’d - 1976
1	Pebbling a chessboard, preprint - Chung, Graham, et al. - 1993
1	Coxeter groups are automatic - Davis, Shapiro - 1991
1	Cloux, Un algorithme de forme normale pour les groupes de Coxeter, preprint, École polytechnique - du - 1990
1	The rationality of Coxeter languages - Eriksson - 1990
1	Twin checker jumping, preprint - Eriksson, Lindström - 1994
1	Reduced decompositions in affine Coxeter groups - Eriksson - 1994
1	and Box has text by F. Burnard. It preceded the Savoy operas and Gilbert had nothing to do with it. Still, all true savoyards agree that it is a Gilbert and Sullivan, for what else could it be - Gilbert, Sullivan, et al.
1	thesis to appear - Headley - 1994
1	On the sets of directions determined by n points, Am.Math.Monthly77 - Scott - 1970
1	A note on the Coxeter group of type - Sekiguchi, Yano - 1979
1	2n points, 2n directions - Ungar - 1982
1	personal communication - Vaderlind - 1993