Introduction to Doubly Special Relativity
Jerzy Kowalski-Glikman

TL;DR
This paper reviews the theoretical framework of Doubly Special Relativity, exploring its connection to quantum gravity, algebraic structures, and phenomenological implications, providing a comprehensive overview of the subject.
Contribution
It offers a detailed review of DSR's formal structure, its relation to quantum gravity, and discusses phenomenological puzzles, enhancing understanding of DSR's theoretical foundations.
Findings
DSR is related to quantum gravity concepts.
The formal structure involves $ppa$-Poincare9 algebra.
Phenomenological puzzles remain unresolved.
Abstract
In these notes, based on the lectures given at 40th Winter School on Theoretical Physics, I review some aspects of Doubly Special Relativity (DSR). In particular, I discuss relation between DSR and quantum gravity, the formal structure of DSR proposal based on -Poincar\'e algebra and non-commutative -Minkowski space-time, as well us some results and puzzles related to DSR phenomenology.
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