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1978, Mathematical surveys, ISBN 9780821815168, Volume no. 16., xi, 122
Book
1991, Readings in mathematics, ISBN 9780387974958, Volume 129., xv, 551
Book
2017, Graduate studies in mathematics, ISBN 9781470436605, Volume 185, xi, 289 pages
Book
by Tan, Ju and Xu, Na
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 04/2019, Volume 472, Issue 2, pp. 1902 - 1913
In this paper, we prove that Lie group admits at least one family of invariant Einstein–Randers metrics, which are not naturally reductive. We also give the... 
Homogeneous manifolds | Einstein–Randers metrics | Symplectic group | MATHEMATICS | MATHEMATICS, APPLIED | Einstein-Randers metrics
Journal Article
Transactions of the American Mathematical Society, ISSN 0002-9947, 03/2019, Volume 372, Issue 3, pp. 1833 - 1866
In analogy with the study of representations of \operatorname {GL}_{2n}(F) distinguished by \operatorname {Sp}_{2n}(F), where F is a local field, we study... 
FORMS | MATHEMATICS | Weil representation | PERIODS | Whittaker models | IRREDUCIBLE REPRESENTATIONS | symplectic models | theta correspondence | Unitary groups
Journal Article
Proceedings of the National Academy of Sciences of the United States of America, ISSN 0027-8424, 10/2018, Volume 115, Issue 43, pp. 10875 - 10879
Building on work by Stallings, Jaco, and Hempel in three dimensions and a more recent four-dimensional analog by Abrams, Kirby, and Gay, we show how the... 
Free groups | Trisections | Four-manifolds | Surface groups | surface groups | four-manifolds | MULTIDISCIPLINARY SCIENCES | trisections | free groups | Manifolds (Mathematics) | Research | Mathematical research | Group theory | Physical Sciences | 105 | 516
Journal Article
International Mathematics Research Notices, ISSN 1073-7928, 02/2019
Given a $1$-cohomology class $u$ on a closed manifold $M$, we define a Novikov fundamental group associated to $u$, generalizing the usual fundamental group in... 
Mathematics | Symplectic Geometry
Journal Article
Journal of Differential Geometry, ISSN 0022-040X, 05/2018, Volume 109, Issue 1, pp. 1 - 38
For a Poisson manifold M we develop systematic methods to compute its Picard group Pic(M), i.e., its group of self Morita equivalences. We establish a precise... 
MATHEMATICS | INTEGRABILITY | EQUIVALENCE
Journal Article
Inventiones mathematicae, ISSN 0020-9910, 3/2019, Volume 215, Issue 3, pp. 741 - 778
We classify the Rauzy–Veech groups of all connected components of all strata of the moduli space of translation surfaces in absolute homology, showing, in... 
Mathematics, general | Mathematics | MATHEMATICS | Homology | Lattices | Mathematics - Dynamical Systems
Journal Article
1996, Memoirs of the American Mathematical Society, ISBN 0821804820, Volume no. 590., viii, 100
Book
2002, Mathematical surveys and monographs, ISBN 9780821805022, Volume no. 98., viii, 350
Book
Journal of Algebra, ISSN 0021-8693, 03/2017, Volume 474, pp. 288 - 328
Basic modules of McLain groups are defined and investigated. These are (possibly infinite dimensional) analogues of André's supercharacters of . The ring needs... 
Basic character | Unitriangular group | Supercharacter | McLain group | POLYNOMIAL PROPERTIES | SUPERCHARACTERS | WEIL REPRESENTATIONS | SUBGROUPS | BASIC CHARACTERS | FINITE RINGS | MATHEMATICS | UPPER-TRIANGULAR GROUPS | UNIPOTENT GROUPS | SYMPLECTIC GROUPS | Algebra
Journal Article
Journal of Algebra, ISSN 0021-8693, 09/2016, Volume 462, pp. 197 - 252
The goal of this paper is to compute the cuspidal Calogero–Moser families for all infinite families of finite Coxeter groups, at all parameters. We do this by... 
Complex reflection groups | Cherednik algebras | Symplectic leaves | Hecke algebras | Calogero–Moser spaces | Calogero-Moser spaces | SPACE | MATHEMATICS | SYMPLECTIC REFLECTION ALGEBRAS | PARTITION | SUBGROUPS | G(M | RATIONAL CHEREDNIK ALGEBRAS | Family | Algebra
Journal Article
11/2010
The first part of this thesis investigates the Gromov width of maximal dimensional coadjoint orbits of compact simple Lie groups. An upper bound for the Gromov... 
Lie Theory | Symplectic Topology | 0405
Dissertation
Duke Mathematical Journal, ISSN 0012-7094, 09/2017, Volume 166, Issue 13, pp. 2521 - 2598
We study analogues of FI-modules where the role of the symmetric group is played by the general linear groups and the symplectic groups over finite rings, and... 
MATHEMATICS | CONFIGURATION-SPACES | AUTOMORPHISM-GROUPS | HOMOLOGICAL STABILITY | SYMMETRIC-GROUPS | COEFFICIENTS | MODULI SPACE | FI-MODULES | CONJECTURE | GRAPHS
Journal Article
Annales Scientifiques de l'Ecole Normale Superieure, ISSN 0012-9593, 05/2018, Volume 51, Issue 3, pp. 773 - 809
The main purpose of this paper is to provide a description of the fundamental group of a symplectic manifold in terms of Floer theoretic objects. As an... 
MATHEMATICS
Journal Article
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