Andrei Zelevinsky, 1953–2013
نویسندگان
چکیده
منابع مشابه
Sergey Fomin and Andrei Zelevinsky
In an attempt to create an algebraic framework for dual canonical bases and total positivity in semisimple groups, we initiate the study of a new class of commutative algebras.
متن کامل2 Sergey Fomin and Andrei Zelevinsky
1. Introduction This paper focuses on the properties of Schubert cells as quasi-projective subva-rieties of a generalized ag variety. More speciically, we investigate the problem of distinguishing between diierent Schubert cells using vanishing patterns of generalized Pl ucker coordinates.
متن کاملDouble Bruhat Cells and Total Positivity Sergey Fomin and Andrei Zelevinsky
0. Introduction 2 1. Main results 3 1.1. Semisimple groups 3 1.2. Factorization problem 4 1.3. Total positivity 5 1.4. Generalized minors 5 1.5. The twist maps 6 1.6. Formulas for factorization parameters 7 1.7. Total positivity criteria 8 1.8. Fundamental determinantal identities 9 2. Preliminaries 10 2.1. Involutions 10 2.2. Commutation relations 10 2.3. Generalized determinantal identities 1...
متن کاملAnd Andrei
A composition of birational maps given by Laurent polynomials need not be given by Laurent polynomials; however, sometimes—quite unexpectedly—it does. We suggest a unified treatment of this phenomenon, which covers a large class of applications. In particular, we settle in the affirmative a conjecture of D. Gale and R. Robinson on integrality of generalized Somos sequences, and prove the Lauren...
متن کاملAndrei Sharf - Research Statement
As computer graphics matures, data is becoming a driving force of increased importance in this progress due to its large quantity and disparateness. Visualization, a domain in computer graphics, is specifically centered around the problem of data-dependent understanding and representation. However, since data is always imperfect, additional assumptions and information are required in order to p...
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 2016
ISSN: 0001-8708
DOI: 10.1016/j.aim.2016.06.006