EXHIBIT 23.1

            CONSENT OF INDEPENDENT REGISTERED PUBLIC ACCOUNTING FIRM

We hereby consent to the incorporation by reference in the Registration
Statements on Form S-8 (No. 333-96081, No. 333-92204, No. 333-66289 and No.
333-109857) of IXYS Corporation of our report dated May 18, 2004, relating to
the financial statements which appears in this Form 10-K.

/s/ PricewaterhouseCoopers LLP

PricewaterhouseCoopers LLP
San Jose, California
June 14, 2004