Last edited by Daizilkree

Sunday, February 9, 2020 | History

7 edition of **Iwahori-Hecke Algebras and their Representation Theory** found in the catalog.

- 248 Want to read
- 16 Currently reading

Published
**February 12, 2003** by Springer .

Written in English

- Groups & group theory,
- Representation Of Groups,
- Algebras,
- Science/Mathematics,
- Mathematics,
- Hecke algebras,
- General,
- Algebra - Linear,
- 20C08, 20C11, 19L47, 47B35,
- Mathematics / Group Theory,
- affine Hecke algebras,
- p-adic group,
- representation,
- Representations of algebras,
- Group Theory

**Edition Notes**

Contributions | Dan Barbasch (Editor), M. Welleda Baldoni (Editor) |

The Physical Object | |
---|---|

Format | Paperback |

Number of Pages | 111 |

ID Numbers | |

Open Library | OL9053701M |

ISBN 10 | 3540002243 |

ISBN 10 | 9783540002246 |

This book will be of use to researchers and graduate students in representation theory as well as any researchers outside of the field with an interest in Hecke algebras. For example, all applications mentioned in the second paragraph of the lead involve Iwahori- Hecke algebras of finite Weyl groups or even symmetric group. Mmonographs 21, Oxford, Springer Verlag, January.

If you dont want to move it the article will need a lot of dablinks at the top. Progress in MathematicsBirkhauser, July, The complete flag variety. Barbasch Eds. The resulting Hecke ring is isomorphic to the Hecke algebra of the affine Weyl group of G, or the affine Hecke algebrawhere the indeterminate q has been specialized to the cardinality of the residue field of K. This is the basic idea of the Hecke algebra.

Oxford Grad. Markov, R. Combinatorics of Coxeter groups. Some of these topics generalise to the representation theory of reductive groups but we will not deal with this general case in this lecture.

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Springer Verlag, January. AMS, The literature on Hecke algebras is enormous, just important contributions from Lusztig count in more than 20 papers. McGovern, Algebraic Quotients. Since Jacobson's book appeared a decade ago, improvements have been made even in the classical parts of the theory.

The study of these algebras was pioneered by Dipper and James in a series of landmark papers. In Iwahori-Hecke Algebras and their Representation Theory book the irreducible representations of Iwahori-Hecke algebras at roots of unity, this Iwahori-Hecke Algebras and their Representation Theory book is a particularly valuable addition to current research in this field.

Barbasch Eds. Mmonographs 21, Oxford, Bertram, The geometry of Jordan and Lie structures. Dunkl and Y. Guillemin, S. The resulting Hecke ring is isomorphic to the Hecke algebra of the affine Weyl group of G, or the affine Hecke algebrawhere the indeterminate q has been specialized to the cardinality of the residue field of K.

Gadducci, P. The final chapter contains a survey of recent advances and open problems. Surveys and Monographs vol 94, AMS, LNMSpringer, Kolk, Lie groups. OxburyAn Introduction to Invariants and Moduli. Cambridge studies in advanced mathematics, 29, This work used a mixture of geometric techniques and various reductions, led to introduction of various objects generalizing Hecke algebras and detailed understanding of their representations for q not a root of unity.

Bonchi, A.I don't know enough about Hecke algebras of modular forms to determine if they merit an article separate from Hecke operators. As I indicated above, it's possible to move the Iwahori-Hecke algebras to a separate article, but it won't completely solve the problem because of the ambiguity of the current use in representation theory.

Iwahori–Hecke Algebras of TypeAat Roots of Unity G.E. MurphyOn the representation theory of the symmetric groups and associated Hecke algebras. J. Algebra, (), pp. Google Scholar. M2. G.E. MurphyThe representations of Hecke algebras of typeA magicechomusic.com by: 2. Buy Representations of Hecke Algebras at Roots of Unity The modular representation theory of Iwahori-Hecke algebras and this theory's connection to groups of Lie type is an area of rapidly expanding interest; it is one that has also seen a number of breakthroughs in recent years.

In classifying the irreducible representations of Iwahori Cited by: Sep 07, · This volume presents pdf fully self-contained introduction to the modular representation theory of the Iwahori-Hecke algebras of the symmetric groups and of the \(q\)-Schur algebras.

The study of these algebras was pioneered by Dipper and James in a series of landmark papers.The Mathematical Sciences Research Download pdf (MSRI), founded inis an independent nonprofit mathematical research institution whose funding sources include the National Science Foundation, foundations, corporations, and more than 90 universities and institutions.

The Institute is located at 17 Gauss Way, on the University of California, Berkeley campus, close to Grizzly Peak, on the.Aﬃne Hecke ebook, cyclotomic Hecke algebras and Cliﬀord theory resentations of the Weyl groups of type A, B and D, Iwahori-Hecke algebras of types A, B, and D, the complex reﬂection groups G We use this method to work out the representation theory of the algebras Hr,p,n in detail.

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