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Bifundamental representation

Index Bifundamental representation

In mathematics and theoretical physics, a bifundamental representation is a representation obtained as a tensor product of two fundamental or antifundamental representations. [1]

7 relations: Antifundamental representation, Fundamental representation, Mathematics, Quiver diagram, Representation theory, Tensor product, Theoretical physics.

Antifundamental representation

In mathematics, an antifundamental representation of a Lie group is the complex conjugate of the fundamental representation, although the distinction between the fundamental and the antifundamental representation is a matter of convention.

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Fundamental representation

In representation theory of Lie groups and Lie algebras, a fundamental representation is an irreducible finite-dimensional representation of a semisimple Lie group or Lie algebra whose highest weight is a fundamental weight.

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Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

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Quiver diagram

In physics, a quiver diagram is a graph representing the matter content of a gauge theory that describes D-branes on orbifolds.

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Representation theory

Representation theory is a branch of mathematics that studies abstract algebraic structures by representing their elements as linear transformations of vector spaces, and studies modules over these abstract algebraic structures.

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Tensor product

In mathematics, the tensor product of two vector spaces and (over the same field) is itself a vector space, together with an operation of bilinear composition, denoted by, from ordered pairs in the Cartesian product into, in a way that generalizes the outer product.

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Theoretical physics

Theoretical physics is a branch of physics that employs mathematical models and abstractions of physical objects and systems to rationalize, explain and predict natural phenomena.

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Bi-fundamental, Bi-fundamental representation, Bifundamental.

References

[1] https://en.wikipedia.org/wiki/Bifundamental_representation

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