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Iwahori subgroup

Index Iwahori subgroup

In algebra, an Iwahori subgroup is a subgroup of a reductive algebraic group over a local field that is analogous to a Borel subgroup of an algebraic group. [1]

9 relations: American Mathematical Society, Borel subgroup, Coxeter group, Local field, Nagayoshi Iwahori, Portmanteau, Publications Mathématiques de l'IHÉS, Reductive group, (B, N) pair.

American Mathematical Society

The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, advocacy and other programs.

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Borel subgroup

In the theory of algebraic groups, a Borel subgroup of an algebraic group G is a maximal Zariski closed and connected solvable algebraic subgroup.

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Coxeter group

In mathematics, a Coxeter group, named after H. S. M. Coxeter, is an abstract group that admits a formal description in terms of reflections (or kaleidoscopic mirrors).

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Local field

In mathematics, a local field is a special type of field that is a locally compact topological field with respect to a non-discrete topology.

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Nagayoshi Iwahori

Nagayoshi Iwahori (Japanese: 岩堀 長慶) (1926 to 29 May 2011) was a Japanese mathematician who worked on algebraic groups over local fields who introduced Iwahori–Hecke algebras and Iwahori subgroups.

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Portmanteau

A portmanteau or portmanteau word is a linguistic blend of words,, p. 644 in which parts of multiple words or their phones (sounds) are combined into a new word, as in smog, coined by blending smoke and fog, or motel, from motor and hotel.

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Publications Mathématiques de l'IHÉS

Publications Mathématiques de l'IHÉS is a mathematical journal.

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Reductive group

In mathematics, a reductive group is a type of linear algebraic group over a field.

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(B, N) pair

In mathematics, a (B, N) pair is a structure on groups of Lie type that allows one to give uniform proofs of many results, instead of giving a large number of case-by-case proofs.

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Redirects here:

Iwahori group, Parahoric, Parahoric group, Parahoric subgroup.

References

[1] https://en.wikipedia.org/wiki/Iwahori_subgroup

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