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Showing 1 to 5 of 5 for “"semisimple Lie algebras"”.
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Jacobi-type methods on semisimple Lie algebras : a Lie algebraic approach to numerical linear algebra
Es wird eine Lie-algebraische Verallgemeinerung sowohl des klassischen als auch des Sortier-Jacobi-Verfahrens für das symmetrische Eigenwertproblem behandelt. Der koordinatenfreie Zugang ermöglicht durch eine neue Betrachtungsweise die Vereinheitlichung strukturierter Eigen- und …
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Cluster Structure for Mirkovic-Vilonen Cycles and Polytopes
We look at the Mirkovic-Vilonen (MV) basis for semisimple Lie algebras and compare this to the associated cluster algebra to investigate the question of whether or not the cluster variables are in the MV basis. We begin with finding analogues of the cluster structure among MV cycles and MV …
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Component Groups of Stabilizers in Algebraic Groups: Computational Methods and Applications
… the stabilizers of nilpotent elements in complex semisimple Lie algebras have been a relevant topic of research over the last century. The works of Alekseevskii (1979) and Sommers (1998) contributed significantly to the determination of such groups for exceptional Lie algebras, while Jantzen …
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The affine Yangian of gl₁, and the infinitesimal Cherednik algebras
… some new results about infinitesimal Cherednik algebras. They have been introduced by Etingof-Gan-Ginzburg in [EGG] as appropriate analogues of the classical Cherednik algebras, corresponding to the reductive groups, rather than the finite ones. Our main result is the realization of those …
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Gradings of Lie Algebras
… is to present an introduction to gradings of Lie algebras. The aim is twofold: to lay the necessary foundations to become (in the near future) an algebraist working in this area of research, and to tackle the problem of finding and classifying the Lie algebras arising as graded contractions of …