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Detailed Programme of the Week 10/09/2023 -- 10/13/2023:
-- Group theory (basics)
LECT 11 -- Monday 10/09/2023 - 1h
Bonciani 15:00-16:00 (Amaldi)
Introduction
to groups. Lie
groups and
representations.
The
Lie Algebra of
the group.
Generators. Casimirs.
[Wu-Ki
Tung, "Group
Theory in
Physics",
chap.3,
chap.6]
LECT 12-13 -- Thursday 10/10/2023 - 2h
Bonciani 8:00-10:00 (Amaldi)
Example:
SO(2) and
U(1). Poincare'
algebra.
Finite
dimensional
irriducible
representations
of the Lorentz
group.
su(2)xsu(2). [Maggiore,
chap.2] [Weinberg, chap.2.2, chap.2.3, chap.2.4]
LECT 14-15 -- Friday 10/13/2023 -
2h Bonciani 8:00-10:00 (Amaldi)
Scalar
field.
Tensorial
representations,
vector
representations
and form of
the generators
in this
representation.
SO(3,1). Rotations,
SO(3) and
SU(2),
spinors, Pauli
matrices,
boosts in the
2-dimensional
representation.
L- and
R-spinors.
Parity and
Dirac spinors.
[Maggiore,
chap.2]