Here are some brief examples of how “lexical semantics” is understood in various linguistic paradigms and related fields:

Generative Grammar: feature-based analysis, formal semantics, lexical decomposition
Cognitive Linguistics: embodiment, image schemas, metaphor, metonymy, mental spaces
Construction Grammar: lexical units, constructional meaning, frame semantics
Functional Linguistics: semantic categories, prototypes, semantic networks, systemic networks
Distributional Semantics: co-occurrence patterns, distributional similarity, word embeddings, neural networks
Pragmatics: context, implicature, presupposition, deixis, speech acts, conversational implicature, politeness theory
Psycholinguistics: lexical access, semantic memory, lexical ambiguity, lexical processing
Computational Linguistics: word sense disambiguation, semantic role labeling, information extraction, question answering
Anthropological Linguistics: ethnosemantics, lexical fields, cultural models, semantic universals
Semiotics: signification, denotation, connotation, symbol, icon, index