Group theory in physics : problems and solutions / by 463052 Aivazis, Michael

Weil's representation and the spectrum of the metaplectic group / by 305701 Gelbart, Stephen S.

Unitary representations and harmonic analysis : an introduction/ by 189570 Sugiura, Mitsuo

Representations of Real Reductive Lie Groups / by Vogen, David A., author 224648

On the groups JO(G)/ by 185871 Lee, Chung Nim, Wasserman, Arthur G.

The weil representation, Maslov index and theta series / by 211409 Lion, Gerard, Vegne, Michele

Continuous cohomology, discrete subgroups, and representations of reductive groups/ by 330663 Borel, Armand, Wallach, Nolan R.

Representation theory : a first course / by Fulton, William, 1939-, Harris, Joe, 1951-

Presenting a relatively simpler method than the tensor method for calculating the diagonal generators of higher representations of Lie groups to calculate the quark ‎potentials in... by H Lookzadeh, M Hossieni

“…In this model we need the diagonal generators of the group representations to calculate and plot a quark potential diagram in different representation. …”
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Tensor products of principal series representations: reduction of tensor products of principal series, representations of complex semisimple lie groups / by 190004 Williams, Floyd L.

An introduction to the linear representations of finite groups by Ballou R.

“…A few elements of the formalism of finite group representations are recalled. As to avoid a too mathematically oriented approach the discussed items are limited to the most essential aspects of the linear and matrix representations of standard use in chemistry and physics.…”
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Tables of dominant weight multiplicities for representations of simple lie algebras / by 348967 Bremner, M. R., Moody, R. V., Patera, J.

Graduate texts in mathematics : lie groups, lie algebras and representations (v. 222) / by 234603 Hall, Brian

Fixed point property of amenable planar vortexes by James Francis Peters, Tane Vergili

“…This article introduces free group representations of planar vortexes in a CW space that are a natural outcome of results for amenable groups and fixed points found by M.M. …”
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The fermion content of the Standard Model from a simple world-line theory by Paul Mansfield

“…We describe a simple model that automatically generates the sum over gauge group representations and chiralities of a single generation of fermions in the Standard Model, augmented by a sterile neutrino. …”
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Highest weights, projective geometry, and the classical limit: I. Geometrical aspects and the classical limit by Hannabuss, K

“…This paper starts with a new proof that highest weight vectors for semi-simple Lie group representations can be characterised by quadratic equations, and finds the automorphism group of this quadratic variety. …”

The Elementary Particles of Quantum Fields by Gregg Jaeger

“…Rather, they supplement quantum fields, on which they depend on but to which they are not reducible, as shown here with particles defined instead as a unified collection of properties that appear in both physical symmetry group representations and field propagators. This notion of particle provides consistency between the practice of particle physics and its basis in quantum field theory.…”
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On signed Young permutation modules and signed p-Kostka numbers by Giannelli, Eugenio, Lim, Kay Jin, O’Donovan, William, Wildon, Mark

“…We prove the existence and main properties of signed Young modules for the symmetric group, using only basic facts about symmetric group representations and the Broué correspondence. We then prove new reduction theorems for the signed p-Kostka numbers, defined to be the multiplicities of signed Young modules as direct summands of signed Young permutation modules. …”
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Basic lie theory / by Abbaspour, Hossein, Moskowitz, Martin A.

<i>Z</i>₂ Topological Order and Topological Protection of Majorana Fermion Qubits by Rukhsan Ul Haq, Louis H. Kauffman

“…We then show how in topological phases in Majorana fermion models gives rise to new braid group representations. So, we give a unifying and broad perspective of topological phases in Majorana fermion models based on anti-commuting symmetry operators and braid group representations of Majorana fermions as anyons.…”
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