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Lecture# CH-250: Lecture, Feb. 24, Part B

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Instructors (2)

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Symmetry

Symmetry () in everyday language refers to a sense of harmonious and beautiful proportion and balance. In mathematics, the term has a more precise definition and is usually used to refer to an ob

Gauge theory

In physics, a gauge theory is a field theory in which the Lagrangian is invariant under local transformations according to certain smooth families of operations (Lie groups).
The term gauge refers t

Symmetry group

In group theory, the symmetry group of a geometric object is the group of all transformations under which the object is invariant, endowed with the group operation of composition. Such a transformat

Group theory

In abstract algebra, group theory studies the algebraic structures known as groups.

The concept of a group is central to abstract algebra: other well-known algebraic structures, such as rings, fi

The concept of a group is central to abstract algebra: other well-known algebraic structures, such as rings, fi

Identity matrix

In linear algebra, the identity matrix of size n is the n\times n square matrix with ones on the main diagonal and zeros elsewhere. It has unique properties, for example whe

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