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Mathematische Annalen, ISSN 0025-5831, 4/2018, Volume 370, Issue 3, pp. 1805 - 1881
...) . As an application, we deduce the existence of a natural set of periods attached to cuspidal automorphic representations of $${{\mathrm{\mathrm {GL}}}(n)$$ GL(n... 
Mathematics, general | Mathematics | MATHEMATICS | UNITARY REPRESENTATIONS | LIE-GROUPS | ALGEBRA | HARISH-CHANDRA MODULES | ARITHMETIC GROUPS | EISENSTEIN COHOMOLOGY
Journal Article
Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 01/2018, Volume 51, Issue 2, p. 25207
Journal Article
Journal of computational chemistry, ISSN 1096-987X, 2019, Volume 41, Issue 2, pp. 129 - 135
The Shavitt graph is a visual representation of a distinct row table (DRT) within the graphical unitary group approach... 
unitary group approach | GUGA | graphical unitary group approach | Shavitt graph | UGA
Journal Article
International Journal of Geometric Methods in Modern Physics, ISSN 0219-8878, 11/2010, Volume 7, Issue 7, pp. 1191 - 1306
Journal Article
Israel Journal of Mathematics, ISSN 0021-2172, 2015, Volume 206, Issue 1, pp. 1 - 38
The notion of derivatives for smooth representations of GL(n, a"e (p) ) was defined in [BZ77]. In the archimedean case, an analog of the highest derivative was defined for irreducible unitary representations... 
MATHEMATICS | UNITARY REPRESENTATIONS | WHITTAKER VECTORS | SERIES | HARISH-CHANDRA MODULES | VARIETIES | ADIC GROUPS | OPERATORS | ANNIHILATORS | CONJECTURE | Mathematical research | Research | Mappings (Mathematics) | Mathematics - Representation Theory
Journal Article
Selecta Mathematica, ISSN 1022-1824, 3/2013, Volume 19, Issue 1, pp. 141 - 172
In this paper, we study irreducible unitary representations of $${GL_{n}(\mathbb{R})}$$ and prove a number of results... 
BZ derivative | 22E47 | Associated variety | General linear group | 22E50 | Mathematics, general | Mathematics | Annihilator | Whittaker functional | Howe rank | Unitary dual | 22E46 | MATHEMATICS, APPLIED | CLASSIFICATION | IRREDUCIBLE REPRESENTATIONS | CONJECTURE | CHARACTERS | P-ADIC GROUPS | MATHEMATICS | MODULES | MODELS | VECTORS | OPERATORS
Journal Article
Mathematische Zeitschrift, ISSN 0025-5874, 6/2019, Volume 292, Issue 1, pp. 387 - 402
Based on an idea by Gan and Savin (Represent Theory 9:46–93, 2005), we give a classification of minimal representations of connected simple real Lie groups not of type... 
22E47 | 15A72 | Mathematics, general | 20G05 | Mathematics | Minimal representation | Reductive group | 22E46 | MATHEMATICS | UNITARY REPRESENTATIONS | MODULES | ORBIT | GEOMETRIC-QUANTIZATION | O(P | REALIZATION
Journal Article
Journal für die reine und angewandte Mathematik, ISSN 0075-4102, 09/2017, Volume 2017, Issue 730, pp. 1 - 64
...–Stevens, Urban, and others. We also formulate a precise modularity conjecture linking trianguline Galois representations with overconvergent cohomology classes... 
MATHEMATICS | FIELDS | UNITARY GROUPS | SPACES | FAMILIES | ARITHMETIC GROUPS | EISENSTEIN COHOMOLOGY | AUTOMORPHIC-FORMS | GLOBAL COMPATIBILITY | OVERCONVERGENT MODULAR-FORMS | CONJECTURE
Journal Article
International Mathematics Research Notices, ISSN 1073-7928, 04/2018, Volume 2018, Issue 8, pp. 2508 - 2534
Abstract We prove that the local components of an automorphic representation of an adelic semisimple group have equal rank in the sense of [31... 
MATHEMATICS | VARIETIES | UNITARY REPRESENTATIONS | ORBIT METHOD | NOTION
Journal Article
International Journal of Number Theory, ISSN 1793-0421, 06/2018, Volume 14, Issue 5, pp. 1329 - 1345
... (aka tensor induction) representation that is critical in the sense of Deligne. For this, we relate the oddness of the associated polarized Galois representations... 
Galois representations | Bloch-Kato conjecture | Fontaine-Mazur conjecture | FORMS | MATHEMATICS | AUTOMORPHY | COHOMOLOGY | UNITARY GROUPS | ADJOINT MOTIVES
Journal Article
Canadian journal of mathematics, ISSN 0008-414X, 06/2019, Volume 71, Issue 3, pp. 717 - 747
...) homogeneous left dual Banach algebra (HLDBA) over a (completely contractive) Banach algebra $A$ . We prove a Gelfand-type representation theorem showing that every HLDBA over A has a concrete realization... 
Article | MATHEMATICS | group algebra | Arens product | UNITARY REPRESENTATIONS | Banach algebra | operator space | Fourier algebra | BANACH-ALGEBRAS | Theory | Mathematics | Algebra
Journal Article
Communications in Mathematical Physics, ISSN 0010-3616, 3/2015, Volume 334, Issue 3, pp. 1219 - 1244
.... We identify them with the quantum R matrices associated with the q-oscillator representations of $${U_q(A^{(2)}_{2n})}$$ U q ( A 2 n ( 2 ) ) , $${U_q(C^{(1)}_n)}$$ U q ( C... 
Quantum Physics | Statistical Physics, Dynamical Systems and Complexity | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Physics | SPIN REPRESENTATIONS | PHYSICS, MATHEMATICAL | UNITARY REPRESENTATIONS
Journal Article
Archiv der Mathematik, ISSN 0003-889X, 2/2019, Volume 112, Issue 2, pp. 169 - 179
Let G be a locally compact totally disconnected topological group. Under a necessary mild assumption, we show that the irreducible unitary representations of G... 
Admissible representation | Smooth representation | p -adic reductive group | Mathematics, general | Unitary representation | Mathematics | 22D10 | Locally compact group | 22D12 | p-adic reductive group | MATHEMATICS | Algebra
Journal Article
Journal of High Energy Physics, ISSN 1126-6708, 2014, Volume 2014, Issue 7
Evidence is presented in some examples that an adinkra quantum number, chi o (arXiv: 0902.3830 ihep-th1), seems to play a role with regard to off-shell 4D, N =... 
Superspaces | Extended Supersymmetry | MESONS | UNITARY-SPIN INDEPENDENCE | PARTICLES | AUXILIARY FIELDS MATTER | EXTENSION | MODELS | FERMI | QCD EFFECTIVE ACTION | BARYONS | N-EXTENDED SUPERSYMMETRY | PHYSICS, PARTICLES & FIELDS
Journal Article
Journal of Mathematical Physics, ISSN 0022-2488, 08/2013, Volume 54, Issue 8, p. 83508
.... A representation for the quantum system in terms of non-commutative functions on the (dual) Lie algebra, and a generalized notion of (non-commutative... 
PHYSICS, MATHEMATICAL | DEFORMATION | Fourier transforms | Algebra | Lie groups | Quantization | Plane waves | Mathematical models | Representations | Quantum gravity | PHASE SPACE | MAPS | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | ALGEBRA | WAVE PROPAGATION | QUANTUM GRAVITY | POISSON EQUATION | QUANTIZATION | SU-2 GROUPS | FOURIER TRANSFORMATION | UNITARY SYMMETRY
Journal Article
Monatshefte für Mathematik, ISSN 1436-5081, 2018, Volume 187, Issue 1, pp. 79 - 94
...:711–769, 2016, Thm. 3.9) to (i) general CM-fields F and (ii) cohomological automorphic representations $$\Pi '=\Pi _1\boxplus \cdots \boxplus \Pi _k$$ Π′=Π1⊞⋯⊞Π... 
11R39 | Critical value | Cuspidal automorphic | Isobaric sum | 11G18 | 22E55 (Secondary) | 11F67 (Primary)11F70 | Mathematics, general | Period | Mathematics | L -function | L-function | ALGEBRA | CLASSIFICATION | ARITHMETIC PROPERTIES | FORMS | MATHEMATICS | UNITARY REPRESENTATIONS | COHOMOLOGY | GL(N) | VALUES
Journal Article
Bulletin de la Societe Mathematique de France, ISSN 0037-9484, 2014, Volume 142, Issue 2, pp. 255 - 267
...) on Speh representations of a group GL(n)(D) where D is a local non Archimedean division algebra of any characteristic. 
Representations of p-adic groups | Unitary representations | Langlands program | MATHEMATICS | unitary representations | GL(N) | JACQUET-LANGLANDS CORRESPONDENCE | CLASSIFICATION | IRREDUCIBLE REPRESENTATIONS
Journal Article
Advances in applied Clifford algebras, ISSN 0188-7009, 2012, Volume 23, Issue 2, pp. 417 - 440
Journal Article
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