Zobrazeno 1 - 10
of 32
pro vyhledávání: '"Yu, Rupert W. T."'
Autor:
Moreau, Anne, Yu, Rupert W. T.
Publikováno v:
Pacific J. Math. 281 (2016) 137-183
We study in this paper the jet schemes of the closure of nilpotent orbits in a finite-dimensional complex reductive Lie algebra. For the nilpotent cone, which is the closure of the regular nilpotent orbit, all the jet schemes are irreducible. This wa
Externí odkaz:
http://arxiv.org/abs/1411.6427
Autor:
Duflo, Michel, Yu, Rupert W. T.
By using a free monoid of operators on the set of compositions (resp. pairs of compositions), we establish in this paper a bijective correspondence between Frobenius standard parabolic (resp. seaweed) subalgebras and certain elements of this monoid.
Externí odkaz:
http://arxiv.org/abs/1409.7554
Autor:
Tauvel, Patrice, Yu, Rupert W. T.
In this article, we give a simple explicit construction of an affine slice for the coadjoint action of a certain class of biparabolic (also called seaweed) subalgebras of a semisimple Lie algebra over an algebraically closed field of characteristic z
Externí odkaz:
http://arxiv.org/abs/1105.1592
Autor:
Righi, Celine, Yu, Rupert W. T.
Publikováno v:
Journal of Lie Theory 20 (2010), 49-63.
In this paper, we give upper bounds for the index of the quotient of the Borel subalgebra of a simple Lie algebra or its nilpotent radical by an ad-nilpotent ideal. For the nilpotent radical quotient, our bound is a generalization of the formula for
Externí odkaz:
http://arxiv.org/abs/0908.4201
In this paper, we study the set of $\Delta$-filtered modules of quasi-hereditary algebras arising from quotients of the double of quivers of type $A$. Our main result is that for any fixed $\Delta$-dimension vector, there is a unique (up to isomorphi
Externí odkaz:
http://arxiv.org/abs/0707.3597
Autor:
Tauvel, Patrice, Yu, Rupert W. T
Let $\mathfrak{g}$ be a solvable Lie algebra and $Q$ an $ad \mathfrak{g}$-stable prime ideal of the symmetric algebra $S(\mathfrak{g})$ of $\mathfrak{g}$. If $E$ is the set of non zero elements of $S(\mathfrak{g})/Q$ which are eigenvectors for the ad
Externí odkaz:
http://arxiv.org/abs/math/0702615
Autor:
Yu, Rupert W. T.
Publikováno v:
Proceedings of the American Mathematical Society 136 (2008) 1515-1522
In this short note, we investigate the following question of Panyushev : ``Is the sum of the index of a parabolic subalgebra of a semisimple Lie algebra $\mathfrak{g}$ and the index of its nilpotent radical always greater than or equal to the rank of
Externí odkaz:
http://arxiv.org/abs/math/0606268
Autor:
Sabourin, Herve, Yu, Rupert W. T.
Publikováno v:
A shorter version can be found in Journal of Lie Theory 16 (2006), 57-65
In this paper, we study the commuting variety of symmetric pairs associated to parabolic subalgebras with abelian unipotent radical in a simple complex Lie algebra. By using the ``cascade'' construction of Kostant, we construct a Cartan subspace whic
Externí odkaz:
http://arxiv.org/abs/math/0407354
Autor:
Tauvel, Patrice, Yu, Rupert W. T.
Publikováno v:
Annales de l'Institut Fourier, 54 (2004) 1793-1810
We give an upper bound for the index of certain Lie algebras, called of seaweed type, introduced by V. Dergachev, A. Kirillov and D. Panyushev. We deduce from this a conjecture of D. Panyushev stated in "Inductive formulas for the index of seaweed Li
Externí odkaz:
http://arxiv.org/abs/math/0311104
Autor:
Tauvel, Patrice, Yu, Rupert W. T.
Publikováno v:
Journal of Algebra 273 (2004) 507-516
We characterize, in a purely algebraic manner, certain linear forms, called stable, on a Lie algebra. As an application, we determine the index of a Borel subalgebra of a semi-simple Lie algebra. Finally, we give an example of a parabolic subalgebra
Externí odkaz:
http://arxiv.org/abs/math/0302048