mathematics, a quaternionic discrete series representation is a discrete series representation of a semisimple Lie group G associated with a quaternionic structure...

described the characters of holomorphic discrete series representations. Quaternionic discrete series representation Bargmann, V (1947), "Irreducible unitary...

In mathematics, a discrete series representation is an irreducible unitary representation of a locally compact topological group G that is a subrepresentation...

dealing with quaternionic groups it is convenient to represent quaternions using complex 2×2-matrices, With this representation, quaternionic multiplication...

representation Semisimple Complex representation Real representation Quaternionic representation Pseudo-real representation Symplectic representation...

Wolf space to each of the simple complex Lie groups. Quaternionic discrete series representation Besse, Arthur L. (2008), Einstein Manifolds, Classics...

v+W\mapsto gv+W} . quaternionic A quaternionic representation of a group G is a complex representation equipped with a G-invariant quaternionic structure. quiver...

angle φ. In 3 Euclidean dimensions, the single spinor representation is 2-dimensional and quaternionic. The existence of spinors in 3 dimensions follows from...

geometry used to describe the physical phenomena of quantum physics Quaternionic analysis Ramsey theory the study of the conditions in which order must...

simple. An important technical point is that a simple Lie group may contain discrete normal subgroups. For this reason, the definition of a simple Lie group...

≥ 2. For n ≥ 2, the noncompact Lie group Sp(n, 1) of isometries of a quaternionic hermitian form of signature (n,1) is a simple Lie group of real rank...

a type 2-3-3 triangle J2 is the group of automorphisms preserving a quaternionic structure (modulo its center). Consists of subgroups which are closely...

infinite-dimensional string group String(n). Discrete subgroups of the spin group can be understood by relating them to discrete subgroups of the special orthogonal...

quaternion-Kähler if and only if isotropy representation of K contains an Sp(1) summand acting like the unit quaternions on a quaternionic vector space. Thus the quaternion-Kähler...

In 3 and 4 dimensions Clifford analysis is sometimes referred to as quaternionic analysis. When n = 4, the Dirac operator is sometimes referred to as...

McL is the only sporadic group to admit irreducible representations of quaternionic type. It has 2 such representations, one of dimension 3520 and one of...

Gorodkov, Denis (2019), "A 15-vertex triangulation of the quaternionic projective plane", Discrete & Computational Geometry, 62 (2): 348–373, arXiv:1603.05541...

great hexagons comprise a discrete fiber bundle covering all 24 vertices in a Hopf fibration. The 24-cell has four such discrete hexagonal fibrations F a...

Koca, Mehmet; Al-Ajmi, Mudhahir; Ozdes Koca, Nazife (2011). "Quaternionic representation of snub 24-cell and its dual polytope derived from E8 root system"...

the others. Matrix exponential — defined by the exponential series. Matrix representation of conic sections Pseudoinverse — a generalization of the inverse...

American researcher in discrete mathematics and mathematical logic Karin Erdmann (born 1948), German researcher in modular representation theory and homological...

Koca, Mehmet; Al-Ajmi, Mudhahir; Ozdes Koca, Nazife (2011). "Quaternionic representation of snub 24-cell and its dual polytope derived from E8 root system"...

Hall–Janko group J2 (order 604,800) as the quotient of the group of quaternionic automorphisms of Λ by the group ±1 of scalars. The seven simple groups...

the Weyl group of A. The group G = SL(2,C) acts transitively on the quaternionic upper half space H 3 = { x + y i + t j ∣ t > 0 } {\displaystyle {\mathfrak...

{\displaystyle M^{*}} is its transpose. If M {\displaystyle M} is complex or quaternionic, then M ∗ {\displaystyle M^{*}} is its conjugate transpose. λ 1 , … ...

in this 20-gonal projection. Quaternionic polytope Peter Orlik, Victor Reiner, Anne V. Shepler. The sign representation for Shephard groups. Mathematische...