On immanants of Jacobi-Trudi matrices and permutations with restricted position

q-Analogs of the inclusion- exclusion pr

q-Analogs of the inclusion- exclusion principle and permutations with restricted position

✍ William Y.C. Chen; Gian-Carlo Rota 📂 Article 📅 1992 🏛 Elsevier Science 🌐 English ⚖ 946 KB

We derive a q-analog of the principle of inclusion-exclusion, and use it to derive a q-analog of the Kaplansky-Riordan theory of permutations with restricted position. Some analogies with the theory of Mahonian statistics are pointed out at the end, leading to a conjectured relationship between the