Real forms of the oscillator quantum algebra and its representations

✍ Scribed by C. H. Oh; K. Singh

• Publisher: Springer
• Year: 1996
• Tongue: English
• Weight: 326 KB
• Volume: 36
• Category: Article
• ISSN: 0377-9017
• DOI: 10.1007/bf00403253

✦ Synopsis

We consider the conditions under which the q-oscillator algebra becomes a Hopf *-algebra. In particular, we show that there are at least two real forms associated with the algebra. Furthermore, through the representations, it is shown that they are related to suq~ 2(2) with different conjugations.