Zobrazeno 1 - 10
of 53
pro vyhledávání: '"Gustav I. Lehrer"'
Autor:
Gustav I. Lehrer, Donald E. Taylor
A complex reflection is a linear transformation which fixes each point in a hyperplane. Intuitively, it resembles the transformation an image undergoes when it is viewed through a kaleidoscope, or arrangement of mirrors. This book gives a complete cl
Publikováno v:
Representation Theory of the American Mathematical Society. 25:265-299
It is very well known that if V V is the simple 2 2 -dimensional representation of U q ( s l 2 ) \mathrm {U}_q(\mathfrak {sl}_2) , the category of representations V ⊗ r V^{\otimes r} , r = 0 , 1 , 2 , … r=0,1,2,\dots , is equivalent to the Temper
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b22f37be3aff2c10c9f1a955fb2892cf
https://doi.org/10.1090/ert/568
https://doi.org/10.1090/ert/568
Autor:
Gustav I. Lehrer
Publikováno v:
Archiv der Mathematik. 114:631-639
We prove the following theorem. Let G be a finite group generated by unitary reflections in a complex Hermitian space $$V={\mathbb {C}}^\ell $$ and let $$G'$$ be any reflection subgroup of G. Let $${\mathcal {H}}={\mathcal {H}}(G)$$ be the space of G
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::72a2a19fa0f04ecf95228d4f8ff0a769
https://doi.org/10.1007/s00013-020-01436-5
https://doi.org/10.1007/s00013-020-01436-5
Publikováno v:
European Journal of Mathematics. 6:928-976
Let $$\mathrm{U}_q({{\mathfrak {g}}})$$ be the quantum supergroup of $${\mathfrak {gl}}_{m|n}$$ or the modified quantum supergroup of $${\mathfrak {osp}}_{m|2n}$$ over the field of rational functions in q, and let $$V_q$$ be the natural module for $$
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e5e9dfe2475df877a58b78632a156805
https://doi.org/10.1007/s40879-019-00360-5
https://doi.org/10.1007/s40879-019-00360-5
Autor:
Gustav I. Lehrer, M. J. Dyer
Publikováno v:
Journal of Pure and Applied Algebra. 222:3849-3857
Oshima's Lemma describes the orbits of parabolic subgroups of irreducible finite Weyl groups on crystallographic root systems. This note generalises that result to all root systems of finite Coxeter groups, and provides a self contained proof, indepe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::38b141b222968c7c6731663c4a01a60b
https://doi.org/10.1016/j.jpaa.2018.02.010
https://doi.org/10.1016/j.jpaa.2018.02.010
Autor:
Gustav I. Lehrer, M. J. Dyer
Publikováno v:
Proceedings of the London Mathematical Society. 118:351-378
We determine a fundamental domain for the diagonal action of a finite Coxeter group $W$ on $V^{\oplus n}$, where $V$ is the reflection representation. This is used to give a stratification of $V^{\oplus n}$, which is respected by the group action, an
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9c2f704608b4c4f60c913cd3a79268e6
https://doi.org/10.1112/plms.12186
https://doi.org/10.1112/plms.12186
Publikováno v:
Advances in Mathematics. 327:4-24
We give an elementary and explicit proof of the first fundamental theorem of invariant theory for the orthosymplectic supergroup by generalising the geometric method of Atiyah, Bott and Patodi to the supergroup context. We use methods from super-alge
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5549ab5509caddce5d6040699c2a272b
https://doi.org/10.1016/j.aim.2017.06.009
https://doi.org/10.1016/j.aim.2017.06.009
Autor:
Gustav I. Lehrer, J.J. Graham
Publikováno v:
Representation Theory of Algebraic Groups and Quantum Groups, T. Shoji, M. Kashiwara, N. Kawanaka, G. Lusztig and K. Shinoda, eds. (Tokyo: Mathematical Society of Japan, 2004)
We discuss a circle of ideas for addressing problems in representation theory using the philosophy of cellular algebras, applied to algebras described in terms of diagrams. Cellular algebras are often generically semisimple, and have non-semisimple s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e382fcfda0f5042f72b70ef73630269e
https://doi.org/10.2969/aspm/04010141
https://doi.org/10.2969/aspm/04010141
Autor:
Ruibin Zhang, Gustav I. Lehrer
Publikováno v:
Mathematische Zeitschrift. 286:893-917
Given a complex orthosymplectic superspace V, the orthosymplectic Lie superalgebra \({\mathfrak {osp}}(V)\) and general linear algebra \({\mathfrak {gl}}_N\) both act naturally on the coordinate super-ring \(\mathcal {S}(N)\) of the dual space of \(V
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b45e4cb791c1ef16148df878823bee2c
https://doi.org/10.1007/s00209-016-1789-4
https://doi.org/10.1007/s00209-016-1789-4
Autor:
Gustav I. Lehrer, Ruibin Zhang
Publikováno v:
Communications in Mathematical Physics. 349:661-702
We give an elementary and explicit proof of the first fundamental theorem of invariant theory for the orthosymplectic supergroup by generalising the geometric method of Atiyah, Bott and Patodi to the supergroup context. We use methods from super-alge
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ff941cebcc20202de8ead598486eb358
https://doi.org/10.1007/s00220-016-2731-7
https://doi.org/10.1007/s00220-016-2731-7