Fingerprint Invariant of Partitions and Construction

Abstract

The fingerprint invariant of partitions can be used to describe the Kazhdan-Lusztig map for the classical groups. We discuss the basic properties of fingerprint. We construct the fingerprints of rigid partitions in the $B_n$, $C_n$, and $D_n$ theories. To calculate the fingerprint of a rigid semisimple operator $({\lambda }^{{}^{\prime }};{\lambda }^{"})$, we decompose ${\lambda }^{{}^{\prime }}+{\lambda }^{"}$ into several blocks. We define operators to calculate the fingerprint for each block using the results of fingerprint of the unipotent operators.

23 pages,30 figures

References in corpus (7)

• Seiberg-Witten Theory and Random Partitions
• Gauge Theory, Ramification, And The Geometric Langlands Program
• Rigid Surface Operators
• Bound states in N = 4 SYM on T^3: Spin(2n) and the exceptional groups
• AGT conjecture and AFLT states: a complete construction
• Solutions of Kapustin-Witten equations for ADE-type groups
• Symbol Invariant of Partition and the Construction

Cited by in corpus (2)

• Invariants of rigid surface operators
• Invariants of partitions and representative elements