sesquillinear form

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sesquillinear form [¦ses·kwə‚lin·ē·ər ′fȯrm]

(mathematics)

A mapping ƒ(x,y) fromE×FintoR, whereRis a commutative ring with an automorphism with period 2 andE×Fis the cartesian product of two modulesEandFoverR, such that for eachxinEthe function which takesyinto ƒ(x,y) is antilinear, and for eachyinFthe function which takesxinto ƒ(x,y) is linear.

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