HOMFLY and superpolynomials for figure eight knot in all symmetric and antisymmetric representations

Characters for symmetric and antisymmetr

Characters for symmetric and antisymmetric higher powers of representations: Application to the number of anharmonic force constants in symmetrical molecules

✍ Xue-Feng Zhou; Peter Pulay 📂 Article 📅 1989 🏛 John Wiley and Sons 🌐 English ⚖ 375 KB

Explicit formulas are given for the characters of symmetric and antisymmetric powers of an arbitrary representation up to the sixth, and a general method for obtaining the higher ones is described. The results allow, among others, the determination of nonvanishing higher force constants in symmetric