Global counterpart of $k$-Poincare algebra and covariant wave functions

TL;DR

This paper explores the global structure of the $k$-Poincare algebra, describes its induced representations, and provides explicit covariant wave functions in a minimal case, advancing understanding of quantum group symmetries.

Contribution

It introduces the global counterpart of the $k$-Poincare algebra, details its induced representations, and derives explicit covariant wave functions for the minimal case.

Findings

Explicit form of covariant wave functions derived

Induced representations of the global $k$-Poincare group described

Enhanced understanding of quantum group symmetries in relativistic frameworks

Abstract

The global counterpart of $k$-Poincare algebra is considered. The induced representations of this group are described. The explicit form of the covariant wave functions in the `minimal' (in Weinberg's sense) case is given.