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Titlebook: Representations and Nilpotent Orbits of Lie Algebraic Systems; In Honour of the 75t Maria Gorelik,Vladimir Hinich,Anna Melnikov Book 2019 S

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Book 2019t topics in Lie theory by experts in the area. The chapters are based on the 2017 sister conferences titled “Algebraic Modes of Representations,” the first of which was held from July 16-18 at the Weizmann Institute of Science and the second from July 19-23 at the University of Haifa. The chapters i
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Quotients for Sheets of Conjugacy Classes,nalogue of a result due to Borho and Kraft. We also describe the normalisation of the categorical quotient . for arbitrary simple . and give a necessary and sufficient condition for . to be normal in analogy to results of Borho, Kraft and Richardson. The example of .. is worked out in detail.
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Some Properties of Orbital Varieties in Extremal Nilpotent Orbits,l but its orbital varieties may have singularities. In this paper, we characterize the orbital varieties of the subregular nilpotent orbit which have a finite number of .-orbits and we give a smoothness criterion for the orbital varieties of the minimal nilpotent orbit.
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Book 2019n this volume cover a range of topics, including:.Primitive ideals.Invariant theory.Geometry of Lie group actions.Quantum affine algebras.Yangians.Categorification.Vertex algebras.This volume is addressed to mathematicians who specialize in representation theory and Lie theory, and who wish to learn more about this fascinating subject..
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